Mathematics High School

Given the definitions of f(x) and g(x) below, find the value of g(f(-3)).

Given The Definitions Of F(x) And G(x) Below, Find The Value Of G(f(-3)).

Answers

Answer 1

Answer:

-11

Step-by-step explanation:

f(x) = 5x + 11

g(x) = x^2 + 4x - 11

g(f(-3)) = ?

f(-3) = 5(-3) + 11

= -15 + 11 = -4

g(f(-3)) = g(-4) = -(4)^2 + 4(-4) - 11

= 16 - 16 - 11 = -11

Answer 2

A function assigns the value of each element of one set to the other specific element of another set. The value of g(f(-3)) is -11.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.


Given f(x)=5x+11 and g(x)=x²+4x-11, therefore, we can write the value of g(f(x)) as,

g(f(x)) = (5x + 11)² + 4(5x + 11) - 11

         = 25x² + 121 + 110x + 20x + 44 - 11

         = 25x² + 130x + 154

Now, substitute the value of x as -3 in the function g(f(x)), therefore, we can write,

g(f(-3)) = 25x² + 130x + 154

          = 25(3)² + 130(-3) + 154

          = 225 - 390 + 154

          = -11

Hence, the value of g(f(-3)) is -11.

Learn more about Function here:

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Answer:

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Divide each term by
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Interval Notation:
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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation

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Hope this helps!

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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(To check 3 x 5 = 15. 20 x 5 = 1.00)

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

because you should know it is well maybe it should have a decimal

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Answers

Answer:

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Step-by-step explanation:

x/9 - g = a

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Answers

Answer:

Step-by-step explanation:

1. 7x+7

2. 2y+5

Not sure about 3 or 4

5. 11x

6.5x+7

7.10x-9y

8. 5x+5y

Not sure about 9

10. 4x+4

Answer:

7x+7

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11x

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10x-9y

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Step-by-step explanation:

Combine like terms for all of these, meaning adding or subtracting anything that has the same variable or power of a variable attached to it.

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Answers

1 1/4?? because 7/4 cant be a whole number its a mixed number when simplified

Answer:

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Answers

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Answers

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Answer: D

Step-by-step explanation: just took it

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Answers

Answer:

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Step-by-step explanation:

This is because based on the choices, the only number that 7 is a factor of is 56

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Hope this helps!

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer: 0.23

Step-by-step explanation:

Given that:

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Answers

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Answers

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Answers

Answer:

the answer is -4

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4x+3y=3

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Answers

Answer:

The answer is 1,028!

Step-by-step explanation:

Add them together. $699 + $329 = $1,028

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A pair of parallel lines is cut by a transversal: A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees. What is the measure of angle x? (1 point)

Answers

Answer:

Step-by-step explanation:

Use the diagram in the attachment for reference. You can substitute the values given in question in place of the one in the diagram.

From the diagram, it can be seen that the sum of angle x and 20 is equal to angle 75 degrees i.e x+30 = 75 (alternate angles)

Next is to find the value of x from the equation

x+30 = 75

Subtract 30 from both sides of the equation;  

x+30-30 = 75-30

x = 75-30

x = 45

Hence the measure of angle x is 45°

Answer:

The answer is 45

Step-by-step explanation:

I got this on a test once and got it right

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Answers

Answer:

Domain: { 16, 13 , 8 }

Range: { −16, 16, 7 }

Step-by-step explanation:

The domain is the set of all the values of  x.

The range is the set of all the values of  y .

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Answers

Answer:

(-2)+3=1

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Answers

Answer:

7 1/2

Step-by-step explanation:

Let's add the whole numbers first, 3 + 4 = 7

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7 1/2 ajanxnmxbxn mcbzmxnxkxncnxnxm

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Answers

Answer:

417

Step-by-step explanation:

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