F(x)=8x+14 and g(x)=5x-8(f o g)(2)=?

Question

asked Feb 9, 2023 189k views

1 Answer

Sarfaraz Nawaz · Answer 1 · 2023-02-13T14:56:01+0000

Given the functions:

$\begin{gathered} f(x)=8x+14 \\ g(x)=5x-8 \end{gathered}$

1. You need to substitute the function g(x) into the function f(x), in order to find:

$(f\circ g)(x)$

Then:

$(f\circ g)(x)=8(5x-8)+14$

2. You need to substitute this value of "x into the function:

And then evaluate, in order to find:

$(f\circ g)(2)$

You get:

$(f\circ g)(2)=8(5(2)-8)+14$
$(f\circ g)(2)=8(10-8)+14$
$(f\circ g)(2)=8(2)+14$
$(f\circ g)(2)=16+14$
$(f\circ g)(2)=30$

Hence, the answer is:

$(f\circ g)(2)=30$