Find and simplify each of the following for fx 6x2 7x 6 f

Find and simplify each of the following for f(x) = 6x2 - 7x + 6. f(x + h) f(x + h)-f(x) f(x + h) - f(x)/h f(x + h) = (Do not factor.) f(x + h) - f(x) = (Do not factor.) f(x + h) - f(x)/h = (Do not factor.)

Solution

A) f(x+h) = 6 x² + 6h² +12hx -7x-7h+6

f(x) = 6x²-7x+6

B) f(x+h)-f(x) = 6 x² + 6h² +12hx -7x-7h+6 - (6x²-7x+6) = 6h² +12hx-7h

C) f(x+h)-f(x) /h = 6h-7 +12x