228k views
1 vote
Given that f(x) = 6x + 2 and g(x) =

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

User Marc Cohen
by
8.3k points

1 Answer

5 votes

Answer:


\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

User Droidchef
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories