Question

Find the following
f(x)=x^2 - 4x - 12
A) f(a+2)
B) f(a+h)

Answer 1

(A) f(a + 2) = a² - 16

substitute x = a + 2 into f(x)

f(a + 2) = (a + 2)² - 4(a + 2) - 12

= a² + 4a + 4 - 4a - 8 - 12

= a² - 16

(B ) f(a + h) = a² + 2ah + h² - 4a - 4h - 12

substitute x = a + h into f(x)

f(a + h) = a² + 2ah + h² - 4a - 4h - 12