Question

Let f(x) = 9x - 2 and g(x) = -x + 3. Find f(g(x)).

Select one:
a. -9x - 2
b. -9x + 5
c. -9x + 25
d. -9x + 27

Answer 1

work from the inside out
\[f(g(x))=f(-x+3)\] is the first step

Answer 2

then since
\[f(\diamondsuit)=9\diamondsuit-2\] you get
\[f(-x+3)=9(-x+3)-2\]

Answer 3

last step is to distribute the \(9\) in
\[9(-x+3)-2\] and finally combine like terms

Answer 4

-9x+12-2?

Answer 5

not quite, since \(9\times 3=27\) you should have
\[-9x+27-2\]

Answer 6

final answer is therefore \(-9x+25\)

Answer 7

oh ok thank you

Answer 8

yw