For the given rational functions f(x) and g(x), f(x) -g(x).
-$$f ( x ) = \frac { 2 } { x - 8 } , g ( x ) = \frac { 19 } { x - 8 }$$
A) $- \frac { 17 } { x }$
B) $\frac { 17 } { x - 8 }$
C) $\frac { 21 } { x - 8 }$
D) $- \frac { 17 } { x - 8 }$

Question

Quizplus · Accepted Answer

When we subtract two rational functions, we need to find a common denominator. In this case, they already have a common denominator of (x-8), so we can simply subtract the numerators:
f(x) - g(x) = 2/(x-8) - 19/(x-8) = (2-19)/(x-8) = -17/(x-8)
Therefore, the correct choice is D.

For the Given Rational Functions F(x) and G(x), F(x) -G(x) f(x)=2x−8,g(x)=19x−8f ( x ) = \frac { 2 } { x - 8 } , g ( x ) = \frac { 19 } { x - 8 }f(x)=x−82​,g(x)=x−819​

For the Given Rational Functions F(x) and G(x), F(x) -G(x) $f ( x ) = \frac { 2 } { x - 8 } , g ( x ) = \frac { 19 } { x - 8 }$