Question

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

Answer 1

So far I got:

\[f(g(x)) = -9x + 27x + 2x - 6\]

But I probably messed something up :P

Answer 2

basically you plug in g(x) instead of x in the f(x) equation.
f(g(x)) = 9(-x+3) -2
= -9x +27 -2
= -9x +25

Answer 3

Wait but why is the -2 behind g(x)?

Answer 4

because -2 is part of the original f(x) function. you only replace the x in the f(x) function and you replace the x by g(x)

Answer 5

Ahh ok, you made it all clear now thanks :)

Answer 6

you're welcome!