Question

If f(x) = 2x + 3 and g(x) = x2 -1, what is the degree of [fog)(x)?

O 2
O 5
O 7
o 10​

Answer 1

Answer: 2

Explanation:

f(x) = 2x + 3 g(x) = x² - 1

f(g(x)) = f(x² - 1)

= 2(x² - 1) + 3

= 2x² - 2 + 3

= 2x² + 1

The largest exponent is 2 so the degree is 2.