Question

Given the definitions of f(x) and g(x) below, find the value of (gof)(1).

Answer 1

Answer:

$(g*f)(x) = 34$

Step-by-step explanation:

For sake of clarity, $(g * f)(x) = g(f(x))$

First, find $f(1)$

$f(1) = 2(1)^2 - 2(1) - 4\\f(1) = 2-2-4 \\f(1)=-4$

Then, take what you got for $f(1)$ and plug that into $g(x)$.  In this case, $f(1) = -4$

$g(-4) = -5(-4) + 14\\g(-4)= 20 + 14\\g(-4) = 34$

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