Find the value for the function.
-$f ( x + h ) \text { when } f ( x ) = \frac { - 3 x + 8 } { 7 x - 9 }$
A) $\frac { - 3 x - 3 h + 8 } { 7 x - 9 }$
B) $\frac { - 3 x + 5 h } { 7 x - 2 h }$
C) $\frac { - 3 x + 8 h } { 7 x - 9 h }$
D) $\frac { - 3 x - 3 h + 8 } { 7 x + 7 h - 9 }$

Question

Find the value for the function.
-$f ( x + h ) \text { when } f ( x ) = \frac { - 3 x + 8 } { 7 x - 9 }$ 
A) $\frac { - 3 x - 3 h + 8 } { 7 x - 9 }$
B) $\frac { - 3 x + 5 h } { 7 x - 2 h }$
C) $\frac { - 3 x + 8 h } { 7 x - 9 h }$
D) $\frac { - 3 x - 3 h + 8 } { 7 x + 7 h - 9 }$

Quizplus · Accepted Answer

To find $f(x + h)$, substitute $x + h$ for $x$ in the function $f(x) = \frac{-3x + 8}{7x - 9}$. This gives $f(x + h) = \frac{-3(x + h) + 8}{7(x + h) - 9} = \frac{-3x - 3h + 8}{7x + 7h - 9}$.

Find the Value for the Function f(x+h) when f(x)=−3x+87x−9f ( x + h ) \text { when } f ( x ) = \frac { - 3 x + 8 } { 7 x - 9 }f(x+h) when f(x)=7x−9−3x+8​

Find the Value for the Function $f ( x + h ) \text { when } f ( x ) = \frac { - 3 x + 8 } { 7 x - 9 }$