Question

Given that f(x) = 6x + 2 and g(x) =
2x + 4
5
solve for g(f(1)).
1
03
4
8

Answer 1

Answer:

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

Step-by-step 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:

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