Question

If f(x) = x³ and g(x) = x² - x, find (f∘g)(4).
a) 60
b) 48
c) 36
d) 24

Answer 1

To find (f∘g)(4), we substitute g(4) into f(x) and evaluate the result. (f∘g)(4) equals 1728.

Step-by-step explanation:

To find (f∘g)(4), we need to substitute g(x) into f(x) and evaluate the result at x = 4. First, let's find g(4). Given that g(x) = x² - x, we have g(4) = 4² - 4 = 16 - 4 = 12. Now we substitute g(4) into f(x) as f(g(4)) = f(12).

Since f(x) = x³, we can evaluate f(g(4)) by replacing x with 12 in the expression f(x). Therefore, f(g(4)) = 12³ = 1728.

So, (f∘g)(4) = 1728.