Let f(x) = {x}^(2) + x + 2 and g(x) = 2 {x}^(2) + 5 Find f(g(x)) Show all steps.

Question

Let


`f(x) = {x}^(2) + x + 2`
and

`g(x) = 2 {x}^(2) + 5`
Find f(g(x))

Show all steps.

Answer 1

Whatever is inside parentheses first [g(x)], is what you would evaluate first, then after that, you would substitute that answer into the f(x) function for EVERY "X" YOU SEE:

[2x² + 5]² + [2x² + 5] + 2

[2x² + 5]² + [2x² + 7]↓

This is your final answer. You get it?