Question

Let g(x) = 3x+ 2 and f(x) = x-2/ 3 Find the value.

f(g(0))


0
-2/3
1
-1

Explanation needed please!! I'm confused on how to solve.

Answer 1

0** (READ BELOW)

Explanation:

First, solve for g(0). Since g(0) = 3x +2, we plug in 0 for x.

So,

g(0) = 3(0) + 2 = 0 + 2 = 2.

Now that we have an answer for g(0), we can plug it into f(x).

So,

f(x) = (x-2)/3

f(x) = f(g(0)) = f(2).

f(2) = (2-2)/3 = 0/3 = 0.

Thus, f(g(0)) = 0.

Essentially, you first solve for g(0) and use the answer from that to solve for f(x) where x is your answer from g(0).

**I was unsure of what the equation was for f(x) based on how you wrote it in the question, but I assumed it was f(x) = (x-2)/3.