Question

Perform the indicated operation f(x)= 4x+2 G(x) = -2x^2-4 find F(g(2))

Answer 1

The equivalent value for the expression f(g(2) is -46

Composite functions

Composite functions are also known as function of a function.

Given the functions below;

f(x)= 4x+2

G(x) = -2x^2-4

Determine the composite function f(g(x))

f(g(x)) = f(-2x^2-4)

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

f(-2x^2-4) = -8x^2 - 16 + 2

f(-2x^2-4) = -8x^2 - 14

Substitute x = 2 into the functions

f(g(2)) = -8(2)^2 - 14
f(g(2) = -32 - 14

f(g(2) = -46

Hence the equivalent value for the expression f(g(2) is -46

Learn more on composite function here: brainly.com/question/13502804

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