Question

If R(x) = x² - 2 and 9(x) = x - 3, what is (fºg)(x)?

Answer 1

To find (fºg)(x), substitute the expression for g(x) into f(x) and evaluate the result.

Step-by-step explanation:

To find (f°g)(x), we need to substitute the expression for g(x) into f(x) and evaluate the result.

Given that f(x) = x² - 2 and g(x) = 9(x) = x - 3, we substitute g(x) into f(x):

f(g(x)) = (x - 3)² - 2

Expanding the expression:

= (x - 3)(x - 3) - 2

= x² - 2x - 2x + 6 - 2

= x² - 4x + 4

So, (f°g)(x) = x² - 4x + 4