Question

1.Let f(x) = x – 6 and g(x) = x^2 – x + 4.
Find g(f(x)).

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

Answer 1

g(f(x)) just means change all the x's in g(x) to whatever f(x) is

Answer 2

ok

Answer 3

f(g(x)) is the exact opposite; replace all of the x's in f(x) to whatever g(x) is

Answer 4

Going from f(x)
to f(g(x))
we notice that
"g(x)" is in the place where x usually is..

Answer 5

the same logic is applied to the equation