Question

If
f(x) = -2x + 5
and
g(x) = 3x - 9
Find
g(f(x)) = [?]x + [ ]

Answer 1

To find g(f(x)), we need to substitute f(x) for x in the expression for g(x):

g(f(x)) = 3(f(x)) - 9

Now, substitute the expression for f(x):

g(f(x)) = 3(-2x + 5) - 9

Simplify by distributing the 3:

g(f(x)) = -6x + 15 - 9

Combine like terms:

g(f(x)) = -6x + 6

Therefore, g(f(x)) = -6x + 6, where the coefficient of x is -6 and the constant term is 6