select the equation that is the inverse of the given function. $f(x)=\frac{x - 3}{5}$\n$\\circ\\…

select the equation that is the inverse of the given function. $f(x)=\frac{x - 3}{5}$\n$\\circ\\ f^{-1}(x)=5x + 15$\n$\\circ\\ f^{-1}(x)=5x + 3$\n$\\circ\\ f^{-1}(x)=3x - 5$\n$\\circ\\ f^{-1}(x)=-\frac{5}{3}x$\ndone

select the equation that is the inverse of the given function. $f(x)=\frac{x - 3}{5}$\n$\\circ\\ f^{-1}(x)=5x + 15$\n$\\circ\\ f^{-1}(x)=5x + 3$\n$\\circ\\ f^{-1}(x)=3x - 5$\n$\\circ\\ f^{-1}(x)=-\frac{5}{3}x$\ndone

Answer

Explanation:

Step1: Replace $f(x)$ with $y$

$y = \frac{x - 3}{5}$

Step2: Swap $x$ and $y$

$x=\frac{y - 3}{5}$

Step3: Solve for $y$

Multiply both sides by 5: $5x=y - 3$. Then add 3 to both sides: $y = 5x+3$. So $f^{-1}(x)=5x + 3$.

Answer:

$f^{-1}(x)=5x + 3$ (the second option)