Question

Write the equation of the function g(x) if g(x) = f(x – 2) +4 and f(x) = x3 + 2.

Answer 1

f=gx-4/x-2


f=x^3+2/x

hope this helps

Answer 2

`g(x) = (x-2)^3 +6`

Explanation:

`g(x) = f(x - 2) +4`

`f(x) = x^3 + 2`

we need to find out g(x)

To find g(x) we need to find f(x-2) first

`f(x) = x^3 + 2`

To find x-2, replace x with x-2

`f(x-2) =(x-2)^3 + 2`

`g(x) = f(x - 2) +4`

Replace f(x-2)

`g(x) = (x-2)^3 + 2+4`

`g(x) = (x-2)^3 +6`