Find the inverse of the one-to-one function.

Y = 5x + 9

A) $f ^ { - 1 } ( x ) = \frac { x + 9 } { 5 }$
B) $f ^ { - 1 } ( x ) = \frac { x - 9 } { 5 }$
C) $f ^ { - 1 } ( x ) = \frac { 5 } { x - 9 }$
D) $f ^ { - 1 } ( x ) = \frac { x - 5 } { 9 }$
E)none of the above

Question

Find the inverse of the one-to-one function.

Y = 5x + 9
 
A) $f ^ { - 1 } ( x ) = \frac { x + 9 } { 5 }$
B) $f ^ { - 1 } ( x ) = \frac { x - 9 } { 5 }$
C) $f ^ { - 1 } ( x ) = \frac { 5 } { x - 9 }$
D) $f ^ { - 1 } ( x ) = \frac { x - 5 } { 9 }$
E)none of the above

Quizplus · Accepted Answer

To find the inverse of the function $y = 5x + 9$, you swap $x$ and $y$ and then solve for $y$. This gives $x = 5y + 9$, which when solved for $y$ gives $y = \frac{x - 9}{5}$, corresponding to choice B.

Find the Inverse of the One-To-One Function f−1(x)=x+95f ^ { - 1 } ( x ) = \frac { x + 9 } { 5 }f−1(x)=5x+9​

Find the Inverse of the One-To-One Function $f ^ { - 1 } ( x ) = \frac { x + 9 } { 5 }$