Let fx x2x 5 Find and simplify the following f3 98 Find a

Let f(x) = x^2/x - 5. Find and simplify the following f(-3) = -9/8 Find and simplify the following f(2x) Find and simplify the following 2 f(x) = 2x^2/2x - 10 Find and simplify the following f(x - 3) =

Solution

f(x) = x^2/(x - 5)

f(-3) = 9/(-3 -5) = -9/8

f(2x) = (2x)^2/(2x - 5) = 4x^2/(2x - 5)

2f’(x) = 2*[(x-5)*2x – x^2]/(x-5)^2 = 2(x^2 – 10x)/(x-5)^2

f(x-3) = (x-3)^2/(x – 3 - 5) = (x-3)^2/(x - 8)