Question

Given that f(x)= 4x + 1 and g(x) = 4x+2/3 solve for g(f(0))

Answer 1

Let's compute f(0) first, and then we'll compute g with that input. We have

`f(x)=4x+1 \implies f(0)=4\cdot 0+1 = 0+1=1`

So, we have

`g(f(0))=g(1) = 4\cdot 1+(2)/(3)=4+(2)/(3)=(12)/(3)+(2)/(3)=(14)/(3)`

Answer 2

4
`(2)/(3)`

Explanation:

To evaluate g(f(0)), evaluate f(0) then use this value to evaluate g(x)

f(0) = 4(0) + 1 = 0 + 1 = 1, then

g(1) = 4 +
`(2)/(3)` = 4
`(2)/(3)`