Question

Let f(x) = -2x - 7 and g(x) = -4x + 3. Find (f ° g)(-5).

Answer 1

(f°g)(x) is a way of saying f(g(x)).
Find g(-5), then find f of your answer to that.

Answer 2

Do i multiply -2x-7*-4x +3? or do I set it up as -2x-7=-4x+3?

Answer 3

Start by taking g of -5:
g(-5) = -4(-5) + 3
= 20 + 3
= 23

Answer 4

Then take f of that:
f(23) = -2(23) - 7
f(23) = -46 - 7
f(23) = -53

So, (f°g)(-5) = f(g(-5)) = f(23) = -53

Answer 5

Thank you!