Evaluate and simplify $f ( x ) = \frac { x + 2 } { x - 3 }$ at $x = x - 8$ .
A) $f ( x - 8 ) = - \frac { x - 6 } { x - 11 }$
B) $f ( x - 8 ) = \frac { x + 2 } { x + 1 }$
C) $f ( x - 8 ) = \frac { x - 6 } { x + 1 }$
D) $f ( x - 8 ) = \frac { x - 6 } { x - 11 }$
E) $f ( x - 8 ) = \frac { x + 2 } { x - 1 }$

Question

Quizplus · Accepted Answer

Substituting $x-8$ for $x$ in $f(x) = \frac{x+2}{x-3}$ gives $$f(x-8) = \frac{(x-8)+2}{(x-8)-3} = \frac{x-6}{x-11}$$ which matches the expression in choice D. Therefore, the answer is D.

Evaluate and Simplify f(x)=x+2x−3f ( x ) = \frac { x + 2 } { x - 3 }f(x)=x−3x+2​

Evaluate and Simplify $f ( x ) = \frac { x + 2 } { x - 3 }$