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pashok25 [27]
2 years ago
5

Given the definitions of f(x) and g(x) below, find the value of g(f(-3)). f(x) = 5x + 11 g(x) = x2 + 4x – 11 ​

Mathematics
2 answers:
Lerok [7]2 years ago
8 0

Answer:

g(f(-3)) = -11

Step-by-step explanation:

First, we evaluate f(-3) and then plug that value into g(x) for x:

f(x) = 5x + 11

f(-3) = 5(-3) + 11 = -15 + 11 = -4

Therefore:

g(f(-3)) = (-4)^2 + 4(-4) - 11 = 16 - 16 - 11 = 0 - 11 = -11

Serga [27]2 years ago
3 0

Answer: -11

Step-by-step explanation:

Find the value of g(f(-3)) given the two equations:

f(x) = 5x + 11

g(x) = x² + 4x - 11

<em>Plug -3 into equation f(x). </em>

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

<em>Solve for f(x).</em>

-4 = f(-3)

<em>Plug -4 into the equation of g(x). </em>

g(-4) = (-4)² + 4(-4) - 11

<em>Solve for g(x).</em>

g(-4) = (16) + (-16) - 11

g(-4) = -11

The value of g(f(-3)) is -11.

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