select the correct answer. the values in the table define the function f(x). if g(x) is the inverse of f(x) , what id the value of g(1)? X-1 ,1,4,6,7 F(X) -3,-1,1,4,6 A.1 B.2 C.3 D.4 E.5​

Select The Correct Answer. The Values In The Table Define The Function F(x). If G(x) Is The Inverse Of

Answers

Answer 1

Answer: D. 4

Step-by-step explanation:

Answer 2

The correct option is Option D: the value of g(1) is 4.

What is the Inverse function?

An inverse function is a function which reverses the function direction for which the range of the function becomes the domain and the domain of the function becomes the range of the inverse function.

If y =  f(x) is the given function then x = f⁻¹(y) is the inverse function.

Here, given in the question the value of x and the value of f(x).

for which f(-1)= -3

f(1)= -1

f(4)= 1

f(6)= 4

f(7)= 6

So let the value of f(x) is y

we can write y=f(x)

applying inverse on both side

⇒f⁻¹(y)= f⁻¹(f(x))

⇒f⁻¹(y)= x

⇒ x= f⁻¹(y)

given that the inverse of f(x) is g(x)

so now the equation will be

⇒ x= f⁻¹(y)=g)y)

⇒ x= g(y)

according to the above function at the value of y, the inverse of the function will be g(y)=  f⁻¹(y)

so from the table it is clear that at the value of x=4, f(x)=y=1.

So at y=1, 1=f(4)

so applying inverse on both side

⇒ f⁻¹(1)= f⁻¹(f(4))

⇒ f⁻¹(1)= 4

⇒g(1)= 4

Therefore the value of the g(1)= 4.

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Related Questions

greatest common factor of x squared times y plus x cubed times y squared

Answers

Answer:

x²y³

Step-by-step explanation:

x²(y + x³)(y²)

(x²y + x²y³)(y²)

x²y³ + x²y⁵

The gcf is x²y³

Solve the equation for y.
5y. – x= 10

Answers

Answer:

y=2+x/5

Step-by-step explanation:

Answer:

y=2+[tex]\frac{x}{5}[/tex]

Step-by-step explanation:

subtract x from both sides to get

5y=10-x

divide both sides by five to get

y=2+[tex]\frac{x}{5}[/tex]

Please help I don't know this
What is 2+2
A: Fish
B: 2
C: 4
D:2+2
Please help I will give brainliest

Answers

The answer you are looking for is C:4 ..

Answer: C

Step-by-step explanation: 2+2 which is 4

So here is the example for you:))

You have 2 apples and I gave you 2 more apples add all them together how many TOTAL apples you have now?

If 1 plus (+) 1 is 2(two) then 2 plus(+) 2 Is 4

Hope you get it have a good time :))

answer this math question for 15 points please

Answers

Answer:

.......

Step-by-step explanation:

A dice is rolled 50 times.

Answers

Answer:

(a) 9/50=0.18

(b) 12/3000=4×10^-3

Solve the equation. -1/2(4x-10)=5-2x

Answers

Answer:

Infinite solutions

Step-by-step explanation:

First distribute -1/2 to 4x and -10 and get -2x+5

Then plug it into the equation which would be -2x + 5 = 5 - 2x

And that would be 0=0 because they are the exact same but in a different order.

And 0=0 is true so it is infinite.

What is the value of Z WILL MARK BRAINLIEST

Answers

[tex]\angle z = 92[/tex]

Answer:

z = 92

Step-by-step explanation:

z = it's opposite angle

You need to figure out another angle in the triangle containing the 42-degree angle.

There are multiple ways to get there, but going from the 95 degree angle is how I will explain.

95 = 42 + 53

So, think the two small triangles are one big triangle.

95 + 39 = 134

180 - 134 = 46

Now back to the smaller one-

42 + 46 = 88

180 - 88 = 92

The opposite angle to z is 92, making z = 92.

solving for x in geometry with triangle

Answers

The value of x in the triangle is -5

How to solve for x?

The sum of angles in a triangle is 180 degrees.

So, we have:

x + 35 + 60 + 90 = 180

Evaluate the sum

x + 185 = 180

Subtract 185 from both sides

x = -5

Hence, the value of x in the triangle is -5

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Sarah Wilson was the top scorer in a​ women's professional basketball league for the 2006 regular​ season, with a total of 818 points. The number of​ two-point field goals that Sarah made was 69 less than double the number of​ three-point field goals she made. The number of free throws​ (each worth one​ point) she made was 28 less than the number of​ two-point field goals she made. Find how many free​ throws, two-point field​ goals, and​ three-point field goals Sarah Wilson made during the 2006 regular season

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Total point = 818

Let number of 3 point goals = p

Number of 2 point goals = 2p - 69

Number of 1 point = 2p - 69 - 28 = 2p- 97

3p + 2(2p - 69) + 1(2p - 97) = 818

3p + 4p - 138 + 2p - 97 = 818

9p - 235 = 818

9p = 818 + 235

9p = 1053

p = 117

Hence ;

number of 3 point goals = 117

Number of 2 point goals = 2(117) - 69 = 165

Number of 1 point = 2(117) - 97 = 137

Thomas got a haircut from the barber. If the haircut cost $32 and he wants to leave a 18% tip, how much will he pay in total

Answers

Answer:

$37.76

Step-by-step explanation:

32*1.18=37.76.

Hope this helps!

Answer: $37.76

Explanation:

The solution to -2(1-4x)=3x+8 is____?

Answers

Answer:

x = 2

Step-by-step explanation:

Step 1:

Simplify both sides of the equation.

Step 2:

Subtract 3x from both sides.

Step 3:

Add 2 to both sides.

Step 4:

Divide both sides by 5.

If y=35 when x=140, what is the value of y when x=70?

Answers

Answer:

140/70= 2

35/2= y when x=70

Step-by-step explanation:

Write the equation of the line graphed below in Point-Slope form. Use the point labeled on the graph. State the slope and point.

Answers

Answer:

The Point-Slope form is y - 1 = 4 ( x + 1 )

Step-by-step explanation:

First you have to find the slope which is 4. To get that you get 2 points and do rise/run. I chose the 2 points (-2,-3) and (-1,1).

Since the formula for point-slope form is:

y - y1 = m ( x - x1 )

You simply fill in the blanks with the given point which is ( -1 , 1 ).

Therefore, the point-slope form is:

y - 1 = 4 ( x + 1)

Sam, Joe and Nancy are all diving. They each have the following pressure rates in their aluminum cylinders tank:

Sam has 3000.805, Joe has 3000.895 and Nancy has 3000.804. Who has the highest amount of pressure in their tank? Who has the least amount of pressure?

I've asked this question 3 times please answer

Answers

Answer:

Nancy High

Joe Low

Sally is baking a cake. The recipe calls for 9 cups of flour. She already put in 3 cups. How many more cups does she need to add ?

Answers

Answer:

6 cups

Step-by-step explanation:

Answer:

6 cups.

Step-by-step explanation:

9-3=6

she already added 3

there's 9 total

6 more to add

Find the distance (-2,6) and (4,-7) and it’s not 14 PLEASE

Answers

14.78 is what I got I hope this helps you

Can you please help me with the question please

Answers

Answer:

34.1 minutes

Step-by-step explanation:

distance= 2miles,time=11 minutes

pace=velocity

velocity= distance/time

V= (2/11) miles/minutes

since the pace is maintained. then,

time taken to run 6.2 miles would be

time=distance/velocity

T= 6.2miles/(2/11)miles/minutes

T= [(6.2×11)/2]minutes

T= 34.1 minutes.

Janelle graphed a line through (−6, 5) that had a slope of −79. What is the y-coordinate of a point on the line that has an x-coordinate of 3?

Answers

Answer:

The value of the y-coordinate is -706

Step-by-step explanation:

The equation of a straight line is;

y = mx + c

where m is slope and c is t-intercept

Given the slope, we can write the equation as;

y = -79x + c

we need to get c

Just put in the x and y values of the given point

X = -6 and y = 5

5 = -79(-6) + c

5 = 474 + c

c = 5-474 = -469

So the complete equation of the line would

be ;

y = -79x - 469

To get the y-coordinate of the point, just insert the x value into the equation;

y = -79(3) - 469

y = -237 - 469 = -706

On a coordinate plane, 3 lines are shown. Line a has points (negative 3, 3) and (3, negative 3). Line b has points (negative 3, negative 2) and (2, 3). Line c is parallel to line b. If line b is perpendicular to line a, and line c is perpendicular to line a, what is the slope of line c? mc =

Answers

Answer:

The slope of line c is 1

Step-by-step explanation:

The given information are;

The coordinates of the points on the line a are; (-3, 3) and (3, -3)

The coordinates of the points on the line b are; (-3, -2) and (2, 3)

Line c ║ line b

Line b ⊥ line a

Line c ⊥ line a

Therefore, we have

The slope, [tex]m_c[/tex] of line c is equal to the slope, [tex]m_b[/tex], of line b Definition of parallel lines (The slopes of parallel lines are equal)

[tex]m_c[/tex] = [tex]m_b[/tex]

Therefore, the slope, m, of the line b is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where, for line b, (x₁, y₁) = (-3, -2) and  (x₂, y₂) = (2, 3), we have;

[tex]Slope, \, m_b =\dfrac{3-(-2)}{2-(-3)} = \dfrac{3 + 2}{2 + 3} = 1[/tex]

From [tex]m_c[/tex] = [tex]m_b[/tex] = 1, the slope of line c = 1.

Answer:

its 1

Step-by-step explanation:

took quiz

Question 4 A coach plans to order new volleyballs and soccer balls. • The cost of each volleyball is $20. • The cost of each soccer ball is $25. • The coach plans to order at least 50 volleyballs and soccer balls in • The coach can spend a maximum of $1,100. Which graph represents x, the number of volleyballs, and y, the number of soccer balls that the coach can order?​

Answers

Answer:

24 in all

Step-by-step explanation:

1,100/45=24

25+20=45

The number of volleyballs are 30, and the number of soccer balls are 20 that the coach can order.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The cost of each volleyball is $20.

And, The cost of each soccer ball is $25.

The coach plans to order at least 50 volleyballs and soccer balls and he can spend a maximum of $1,100.

Now,

Let number of volleyballs = x

Number of soccer balls = y

So, We can formulate;

⇒ x + y = 50

⇒ $20x + $25y = $1100

Solve both equation as;

From equation (i);

⇒ 20x + 20y = 1000

Subtract above equation from (ii), we get;

⇒ 25y - 20y = 1100 - 1000

⇒ 5y = 100

⇒ y = 20

And, x + y = 50

x + 20 = 50

x = 30

Thus, The number of volleyballs are 30, and the number of soccer balls are 20 that the coach can order.

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The first thing I did was to be a part of 55​

Answers

Answer:

55? What does that mean? Math 55?

Step-by-step explanation:

Answer: I’m sorry, but what is this? What’s the question?

Step-by-step explanation: Thank You! :)

Find the length of PQ if P(2, 7) and Q(-4, 2)

Answers

Answer:

.

Step-by-step explanation:

.

Answer: √29 or 5.38

Step-by-step explanation:

Subtract.

(2x4−x2+5x−2)−(−x4+3x3+2x2−1)

Answers

The result from subtracting (-x⁴ + 3x³ + 2x² - 1) from (2x⁴ - x² + 5x - 2) is the algebra expression 3x⁴ - 3x³ - x³ + 5x - 3.

How to solve the expression

We first open the bracket;

(2x⁴ - x² + 5x - 2) - (-x⁴ + 3x³ + 2x² - 1) = 2x⁴ - x² + 5x - 2 + x⁴ - 3x³ - 2x² - 1

then we collect like terms;

(2x⁴ - x² + 5x - 2) - (-x⁴ + 3x³ + 2x² - 1) = 2x⁴ + x⁴ - 3x³ - x² - 2x² + 5x - 2 - 1

(2x⁴ - x² + 5x - 2) - (-x⁴ + 3x³ + 2x² - 1) = 3x⁴ - 3x³ - 3x² + 5x - 3

Therefore, the solution for the subtraction of the expression (-x⁴ + 3x³ + 2x² - 1) from (2x⁴ - x² + 5x - 2) is the algebraic expression 3x⁴ - 3x³ - 3x² + 5x - 3.

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Plzzz hellllppppp I’m failing this class!!!!

Answers

Step-by-step explanation:

So now a full triangle is 180°

Since the full triangle is 180°..you have to minus it with 68°and 70°.

[tex]180 - 68 - 70 = 42[/tex]

This is what you will get

Now write the value (42). Now you have the degree for a whole triangle

Since they are asking you to find the outside angle, you have to minus 42 with 180. This because that's a half circle

Full circle=360

Half circle =180

[tex]180 - 42 = 138[/tex]

Hope this is correct and helpful

HAVE A GOOD DAY!

What is an equation of the line that passes through the points :

(−6,−5) and (−6,−2)?

Answers

Answer:  x= -6

Step-by-step explanation:

It will be a vertical line parallel to the y-axis at -6 on the x-axis. It passes through every y-value, including the given -5 and -2

Given the function. f(x)=x^2+5x-8
Find f (2).

Answers

Answer:

f(2)=6

Step-by-step explanation:

f(2)=2^2+5(2)-8

f(2)=4+10-8

f(2)=14-8

f(2)=6

PLEASE HELP

What would be my first step?
3 + 4 x 6 - 4 =
addition
subtraction
division
multiplication​

Answers

multiplication :))
it’s the order of operations!

GIVE YOU LOTS OF POINT, ANSWER ASAP!

Answers

Answer:

c

Step-by-step explanation:

Calculate the number of roots of
2sin^3x-5sin^2x+2sinx=0
in the interval 0<=x<=pi

Answers

Answer:

Which points are collinear?

G, A, and T

G, E, and T

A, T, and E

G, A, and E

Step-by-step explanation:

Write the equation for the line that passes through the point (0, -4) and has the same slope as y=2over3 X + 1over2

y=------x------

Answers

Answer:

y=2/3x-4

Step-by-step explanation:

y-b=m(x-a)

y--4=2/3(x-0)

y+4=2/3(x-0)

3y+12=2(x-0)

3y+12=2x-0

3y=2x-12

y=2/3x-4

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