Question

Let f(x) = 9x − 2 and g(x) = −x + 3. Find f(g(x)). (1 point)

−9x − 2
−9x + 5
−9x + 25
−9x + 27

Answer 1

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

g(x)= -x+3
f(g(x))= 9(-x+3) -2
f(g(x))= -9x+27-2

Answer:
-9x+ 25

Answer 2

In looking for f(g(x)), one has to substitute the expression of g(x) in place of the variable "x" in f(x). This is shown below:

Given:

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

f(g(x)) = 9(-x + 3) - 2
f(g(x)) = -9x + 27 - 2
f(g(x)) = -9x + 25