Question

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

Question 9 options:
1) -9x + 27
2) -9x + 25
3) -9x + 5
4) -9x - 2

Answer 1

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

Answer 2

2)

Answer 3

This is another good one. Now everywhere you see an x in the f(x) you will write the entire g(x) equation. Then simplify.

Answer 4

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

Question 10 options:
1) x2 - 13x + 46
2) x2 - 11x + 34
3) x2 - 2x - 2
4) x2 - x - 2

Answer 5

Same thing, replace the variable in g(x) with the expression from f(x).
g (x-6) = (x-6)^2 - (x-6) + 4

Now you can expand the binomial squared and simplify.