For the given functions f and g, find the requested composite function value. f(x) = x - 8 x , g(x) = x2 + 6; Find ( g H f)(-2).

Question

asked Dec 23, 2022 45.7k views

1 Answer

Peter Quiring · Answer 1 · 2022-12-28T00:30:03+0000

Answer:

106

Explanation:

Composite function:

A composite function is represented by:

$(g \circ f)(x) = g(f(x))$

In this question:

f(x) = x - 8

g(x) = x^2 + 6

$(g \circ f)(x) = g(f(x)) = g(x-8) = (x-8)^2 + 6$

Find ( gof)(-2).

When x = -2. So

$(g \circ f)(-2) = (-2-8)^2 + 6 = (-10)^2 + 6 = 100 + 6 = 106$

The answer is 106.