The function f is one-to-one. Find its inverse.
-$$f ( x ) = 3 x + 7$$
A) $f ^ { - 1 } ( x ) = - \frac { x + 3 } { 7 }$
B) $f ( x ) = \frac { x - 7 } { 3 }$
C) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } - 7 } { 3 }$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } + 7 } { 3 }$

Question

Quizplus · Accepted Answer

To find the inverse of the function $f(x) = 3x + 7$, you swap $x$ and $y$ and solve for $y$. This gives $x = 3y + 7$, which when solved for $y$ gives $y = \frac{x - 7}{3}$. Therefore, the inverse function is $f^{-1}(x) = \frac{x - 7}{3}$.

The Function F Is One-To-One f(x)=3x+7f ( x ) = 3 x + 7f(x)=3x+7

The Function F Is One-To-One $f ( x ) = 3 x + 7$