Find the inverse function for f (x) = $\frac { 5 - 2 x } { 3 }$ .
A) $\frac { 5 - 3 x } { 2 }$
B) $\frac { 2 x - 5 } { 3 }$
C) $\frac { 2 - 3 x } { 5 }$
D) $\frac { 3 x - 2 } { 5 }$
E) $\frac { 2 x + 5 } { 3 }$
F) $\frac { 3 } { 5 - 2 x }$
G) $\frac { 2 } { 5 - 3 x }$
H) $3 x - 5$

Question

Find the inverse function for f (x) = $\frac { 5 - 2 x } { 3 }$ .
A) $\frac { 5 - 3 x } { 2 }$ 
B) $\frac { 2 x - 5 } { 3 }$ 
C) $\frac { 2 - 3 x } { 5 }$ 
D) $\frac { 3 x - 2 } { 5 }$ 
E) $\frac { 2 x + 5 } { 3 }$ 
F) $\frac { 3 } { 5 - 2 x }$ 
G) $\frac { 2 } { 5 - 3 x }$ 
H) $3 x - 5$

Quizplus · Accepted Answer

To find the inverse function, swap $x$ and $y$ and solve for $y$. Starting with $y = \frac{5 - 2x}{3}$, swapping gives $x = \frac{5 - 2y}{3}$. Solving for $y$ gives $y = \frac{5 - 3x}{2}$, which matches choice A.

Find the Inverse Function for F (X) = 5−2x3\frac { 5 - 2 x } { 3 }35−2x​

Find the Inverse Function for F (X) = $\frac { 5 - 2 x } { 3 }$