Answer:
g(x) = -x + 3
Step-by-step explanation:
We are given:
f(x) = -x + 6
g(x) = f(x+3)
Since g is not explicitly given, we are required to find the equation for function g.
Function g is given in terms of f, thus we only have to substitute x+3 for x in f as follows:
g(x) = f(x+3) = -( x + 3 ) + 6
g(x) = -x - 3 + 6
Simplifying:
g(x) = -x + 3
