Question

Consider the function: F(x) = (x+4)/(x+2)

Evaluate the difference quotient for the given function. Simplify your answer?

F(x) - f(2)/(x-2)

Answer 1

F(2)=6/4=3/2

Answer 2

2(x+4)/2(x+2)-3/2(x-2) = (2x+8-3)/2(x-2) = (2x+5)/2(x-2)

Answer 3

thats not right when i submitted it?

Answer 4

pellet i see the mistake

Answer 5

\[\frac{x+4}{x+2}-\frac{3}{2(x-2)}=\frac{(x+4)*2*(x-2)-3(x+2)}{-2(x+2)(x-2)}\]