Find the inverse of each of the given funcions
fo) = 4x-12
51x)=
DONE
o

Find The Inverse Of Each Of The Given Funcionsfo) = 4x-1251x)=DONEo

Answers

Answer 1

Let y be f(x)

[tex]\\ \sf\longmapsto y=4x-12[/tex]

Swipe the values

[tex]\\ \sf\longmapsto x=4y-12[/tex]

Isolate y

[tex]\\ \sf\longmapsto 4y=x+12[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{x+12}{4}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{1}{4}x+3[/tex]

Hence.

[tex]\\ \sf\longmapsto f^{-1}(x)=\dfrac{1}{4}x+3[/tex]

Answer 2

Let y=f(x)

y=4x-12

Now interchange the variables

x=4y-12

The y we need now

x+12=4y

Divide both sides by 4

y=(x+12)/4

This is the inverse


Related Questions

Given the function f(x)= e^3x, write an expression that represents the derivative of f using the limit shown below.

Answers

Answer:

f'(x)=6x+8

Step-by-step explanation:

Simplify 20+16➗2


Please answer ASAP

Answers

Answer:

28, trust me

Step-by-step explanation:

Help me with this problem plzzz

Answers

Answer:

definition of perpendicular

Step-by-step explanation:

typically when 2 lines cross they are 90 degrees or other word... perpendicular

Given g(x)=x2-3x+8 evaluate
A) g(4). B) g(-5)

Answers

Answer:

g(4) = 12

g(-5) = 48

Step-by-step explanation:

I will assume that you meant g(x)=x^2 - 3x + 8,

A)  To find g(4), substitute 4 for each instance of 'x' in this function:

g(4) = (4)^2 - 3(4) + 8, or

g(4) = 16 - 12 + 8, or

g(4) = 12

Similarly, g(-5) = (-5)^2 - 3(-5) + 8 = 25 + 15 + 8 = 48

g(-5) = 48

Answer:

A) 12

B) 18

Step-by-step explanation:

A) 4^2 - 3(4) + 8

16 - 12 + 8 = 12

B) -5^2 - 3(-5) + 8

25 + 15 + 8 = 48

x over 32 = 3 over 16

Answers

Answer:

7/32 = 3/16

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

We simplify the equation to the form, which is simple to understand

x/32=3/16

Simplifying:

+ 0.03125x=3/16

Simplifying:

+ 0.03125x=0.1875

We move all terms containing x to the left and all other terms to the right.

+ 0.03125x=0.1875

We simplify left and right side of the equation.

+ 0.03125x=0.1875

We divide both sides of the equation by 0.03125 to get x

If you have swimming every 5 days and diving every 3 days and today you have both in how many days will u have bit classes again

Answers

Answer:

In 15 days

Step-by-step explanation:

So you have to find the smallest common factor(a number they both share in the multiplication table) which in this case is 15.

I think you meant to say both not bit lol

Have a nice day! :-)

845 + 68 =.....￴ ￴ ￴￴ ￴￴ ￴ ￴​

Answers

Answer:

777

Step-by-step explanation:

Answer:

913

good luck <3

What is the equation of the line in point slope form with a slope of m=-2/3 passing through the point (-5,-2)

Answers

Answer:

[tex]m=− 32​ ≈−0.666666667[/tex]

Step-by-step explanation:

How i did? In livada sunt 12 mere am cules 6. Cate mera au ramas?

Answers

Answer:

72

Step-by-step explanation:

12x6=72

Write the equation of the parabola in vertex form.
vertex (3,1), point (2, - 4).
f(x)=
)
w

Answers

f(x) = 5(x - 3) + 1

Find slope by using the vertex point and the other point given. You get 5. Then the vertex point is just the opposite x and the number after the parentheses.

I need the answer for this

Answers

Answer:

JK = 12.6

Step-by-step explanation:

Similarity says ratio of any cooresponding sides are equal to the ratio of any other cooresponding sides. SO

25.2/66 = JK/33

33(25.2/66) = JK

12.6 = JK

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Eureka Math - 7th grade
>
5.8 Solve two-step equations: word problems D2Y
Tutor
Zack sold 3 of his old hockey sticks at Refreeze Secondhand Sports Shop. Before he left, he
spent $25 of his earnings on a used pair of hockey gloves. He had $71 remaining. How much
did Zack receive for each hockey stick?
Submit

Answers

$32 for each hockey stick

Step-by-step explanation:

71+25=96

96 divided by 3= 32

Zack received $32 for each hockey stick he sold. He earned $96 in total from selling 3 sticks after deducting $25 for gloves, leaving him with $71.

Given that Zack sold 3 old hockey sticks and earned a total amount of money.

He spent $25 of his earnings on a pair of used hockey gloves.

After buying the gloves, he had $71 remaining.

Now, we need to find out how much Zack received for each hockey stick.

Let's assume the amount he received for each hockey stick is "x" dollars.

Total earnings from selling the hockey sticks = Number of sticks sold × Amount received per stick

Total earnings = 3x

Zack spent $25 on gloves and had $71 remaining, so we can write this equation:

Total earnings - Amount spent = Remaining money

3x - 25 = 71

Now we can solve for x (the amount received for each hockey stick):

3x - 25 = 71

Add $25 to both sides:

3x = 96

Divide both sides by 3:

x = $32

So, Zack received $32 for each hockey stick he sold.

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solve the system using the elimination method.
3x - 7y = -18
4x - 2y = -24

Answers

3x-7y=-18
4x-2y=-24
——————
12x-28y=-72
12x-6y=-72
——————-
12x-28y=-72
-12x+6y=72
——————-
-23y=0
y=0
——————-
3x-0=-18
3x=-18
x=-6
——————-
COORDINATES: (-6, 0)

Bill has two dollars and 2 cents. How much money does he have?

Answers

Answer:

He has $2.02

Step-by-step explanation:

You answered the question in the first sentance.

Which of the following is equal to the expression below?
(8 x 320)^1/3
ОА.
835
OB.
30
Ос.
40
OD
1036
Reset

Answers

256/3.hope this helps

Before the sale, the store had 100 pairs of flip-flops in stock. After selling some they noticed that 3/5 of the flip flops they have left are blue. If the store has 39 pairs of blue flip flops, how many pairs of flip flops (any color) have they sold?

Answers

Answer:

35

Step-by-step explanation:

158 divided by 37 I don’t get it what is the answer

Answers

Answer:

4.2702702703

=

4 Remainder 10

Step-by-step explanation:

158 divided by 37 = 4.270

The result of 158/37 is a non-terminating, repeating decimal.

The repeating pattern above, 270, is called repetend, and denoted overlined with a vinculum.

This notation in parentheses is also common: 158/37 = 4.(270): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 158 / 37 = 4.270… .

158 divided by 37 in decimal = 4.270

158 divided by 37 in fraction = 158/37

158 divided by 37 in percentage = 427.02702703%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 158 and 37, of course.

Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 158, and the denominator, e.g. 37, have been inserted.  

Answer:

4.2703

Step-by-step explanation:

Sam evaluated the expression x2y for x = 7 and y = 9. He got a value of 49. Which of the following statements is correct?

Answers

Answer:

7*7=49

Step-by-step explanation:

x2y

7*2*9

=129

7*9

=63

9*2

=18

7*2

=14

7*7

=49

William says that 15 years from now, his age will be 3 times his age 5 years ago. if x represents William's present age, what equation represents his claim? What is Willaim's current age?

Answers

Answer:

x + 15 = 3 (x - 5)

William’s current age: 15. Years old

Step-by-step explanation:

x + 15 = 3(x-5)

x + 15 = 3x - 15

15 + 15 = 3x - x

30 = 2x

x = 15

There are ten eggs in a carton. How many eggs are in four cartons?

Answers

Answer:

40 because 10 x 4 = 40

Step-by-step explanation:

Dude this is baby level question

Answer is 10×4= 40

So 40 Eggs

please help! due tmr

Answers

Answer:

One solution

Step-by-step explanation:

3x+x+2=8x-4x+2

Combine like terms.

4x+2=4x+2

Solve for x

4x+(-4x)+2=4x+(-4x)+2

2=2

This equation has one solution because 2 only equals 2 and will not equal any other number.

Write an equation of the line with the given slope and y-intercept 1.slope=7;y-intercept=2 2.slope 1/3;y-intercept =-1

Answers

Answer:

1.   y = 7x + 2

2.   y = 1/3x - 1  or 3y = x - 3

Step-by-step explanation:

Use this formula y = mx + b   where the slope is represent by "m" and the y-intercept is represent by "b"

1.    y = mx + b

     y = 7x + 2

2.   y = mx + b

     y = 1/3 x + (-1)      Let clean this up by multiplying each term by 3

     3y =  1x - 3  or 3y = x - 3

What is the equation of a line that is paralel to — 3x + 4y = 4 and passes through the point (4, 0)?

Answers

Step-by-step explanation:

..............

=> 3x + 4y = 12

The correct equation that goes through the point (3, 4) and is parallel to the line y=2x+1

Answers

Answer: y = 2x -2

Step-by-step explanation: parallel is same slope diff y intercept

y = 2x

4 = 2(3) + x

4 = 6 + x

x = -2

May I please receive help?

Answers

4, -1/4 -1,

we can do this simply by

(y2-y1)/(x2-x1)

and simplifying

A functionf(x) is graphed on the coordinate plane.


What is the function rule in slope-intercept form?



Enter your answer in the box.

f(x)=

Answers

Answer:

y = -1/2x + b  meaning f(x) = -1/2x + b

Step-by-step explanation:

Use two points on the graph that you can find the value of  or use Slope = raise/run

let use points (2,0) and (0, 1)

slope = (change in the y-value)/(change in the x-value.

slope = (1 - 0)/(0 - 2)

slope = 1/-2 or -1/2

Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.

slope = raise/run

slope =  1/-2 or -1/2

Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .

y= mx + b

0 = -1/2(2) + b

0 = -1 + b

1 = b

Now write your equation: y = mx +b where m = -1/2 and b = 1

y = -1/2x +b

Consider the function shown. How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?

Answers

The correct option is D f⁻¹(x) = 2 + √(x + 2).

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The inverse function of a function f in mathematics is a function that reverses the operation of f.

The given function is f(x) = 1 / (2 + √(x + 2)). The inverse function of the given function is,

f⁻¹(x) = 2 + √( x + 2).

Therefore, the correct option is D f⁻¹(x) = 2 + √( x + 2 ).

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the oblique pyramid has a square base with an edge length of 5 cm. the height of the pyramid is 7 cm. an oblique pyramid has a square base with an edge length of 5 centimeters. the height of the pyramid is 7 centimeters. what is the volume of the pyramid? 11two-thirds cm3 43three-fourths cm3 58one-third cm3 87one-half cm3

Answers

The volume of a square base pyramid with edge length of 5 cm and height of 7 cm is 58. 33 cm³

Volume of a pyramid

The volume of a pyramid is decribe as follows:

volume of a pyramid = 1 / 3 Bh

where

B = base areah = height of the pyramid

Therefore,

B = 5² = 25 cm²

volume of the pyramid = 1 / 3 × 25 × 7

volume of the pyramid = 175 / 3

volume of the pyramid = 58.3333333333

volume of the pyramid = 58. 33 cm³

learn more on pyramid here:https://brainly.com/question/3399922

Answer:

C. 58 1/3 cm^3

Step-by-step explanation:

(6x + 1)(5x + 8) help please

Answers

the answer is 30^2+53x + 7
The answer is 30x^2+ 53x+8

Question
The formula for simple interest is I=Prt.
Solve the formula for t.

Answers

Answer:       I    =    t                     Pr

Step-by-step explanation:

We can solve for t by making it the subject of the equation.

since   I = Prt             [divide both sides by Pr]

∴           I    =    t             Pr

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