given fx4x1 find the difference quotient fxhfxh Thank youSol

given f(x)=4x-1, find the difference quotient f(x+h)-f(x)/h

Thank you!

Solution

Given F(x) = 4x-1

To determine f(x+h), substitute x+h in place of x in the above equation

F(x+h) = 4(x+h) - 1 = 4x-4h-1

[F(x+h) - f(x)] /h = [4x-4h-1 - (4x-1)]/h

= [4x-4h-1-4x+1]/h

= -4h/h

= -4

The difference quotient of [F(x+h) - F(x) ]/h is -4.