Question

Please help: given f(x)= -x+6 and g(x) = f(x+3) write an equation for function g.

Answer 1

g(x) = -x + 3

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