Question

Use the drawing tools to form the correct answer on the graph.

Plot function gon the graph.
(-3, -8 < a <-2
-2 < a <4
g(1) = {1,
5,
4 << 10

Answer 1

The correct solution is f + goh = x² + 6x +1

Explanation:

f (x) = x^2

g(x) = 3x + 1

h(x) = 2x

We are to look for f + (goh)

First we need to get the composite function goh

goh = g(h(x))

g(h(x)) = g(2x)

To get g(2x) we will substitute x in g(x) as 2x as shown below:

Given g(x) = 3x+1

g(2x) = 3(2x)+1

g(2x) = 6x+1

f + goh = x² + (6x +1)

f + goh = x² + 6x +1

Jim wrote goh as 2(3x+1) instead of 3(2x) + 1. The composite function that Jim looked for was hog not goh.

The correct solution is f + goh = x² + 6x +1