If f(x) = x² + 1 and g(x) = x - 4, which value is equivalent to (f*g)(10)?
37, 97, 126, 606

Solution:

Given:

Function f(x) = x² + 1 and g(x) = x - 4

⇒ f*q (x) = f[g(x)]

⇒ f*q (x) = f(x - 4)

But f(x) = x² + 1

⇒ f*g (x) = (x - 4)² + 1

⇒ f*g (x) = x² - 8x + 16 +1

⇒ f*g (x) = x² - 8x + 17.

⇒ f*g (10) = 10² - 8(10) + 17

⇒ f*g (10) = 100 - 80 +17

⇒ f*g (10) = 37

Hence, the required value is 37.

If f(x) = x² + 1 and g(x) = x - 4, which value is equivalent to (f*g)(10)?

Summary:

If f(x) = x² + 1 and g(x) = x - 4, then (f*g)(10) = 37