Question

Given that f(x) = 6x + 2 and g(x) =

2x + 4
5
solve for g(f(1)).
1
03
4
8

Answer 1

`\displaystyle g(f(1)) = 20`

Explanation:

We are given the two functions:

`f(x)=6x+2 \text{ and } g(x)=2x+4`

And we want to find:

`g(f(1))`

First, find f(1):

`\displaystyle \begin{aligned} f(1) &= 6(1) + 2 \\ &= 6 + 2 \\ &= 8 \end{aligned}`

Substitute:

`g(f(1))=g(8)`

Find g(8):

`\displaystyle \begin{aligned} g(8) &= 2(8) + 4 \\ &= 16 + 4 \\ &= 20 \end{aligned}`

In conclusion:

`\displaystyle g(f(1)) = 20`