The function $$ f(x)=2 x+5 $$ is one-to-one. a. Find an equation for $$ f^{-1} $$, the inverse function. b. Verify that your equation is correct by showing that $$ f\left(f^{-1}(x) ight)=x $$ and $$ f^{-1}(f(x))=x $$. a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer, Use integers or fractions for any numbers in the expression.) $$ f^{-1}(x)=\square $$, for $$ x z \square $$ B. $$ f^{-1}(x)=\square $$, for all $$ x $$ c. $$ f^{-1}(x)=\square $$, for $$ x \leq \square $$ D. $$ f^{-1}(x)=\square $$, for $$ x
eq \square $$

Question

The function $$ f(x)=2 x+5 $$ is one-to-one. a. Find an equation for $$ f^{-1} $$, the inverse function. b. Verify that your equation is correct by showing that $$ f\left(f^{-1}(x)ight)=x $$ and $$ f^{-1}(f(x))=x $$. a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer, Use integers or fractions for any numbers in the expression.) $$ f^{-1}(x)=\square $$, for $$ x z \square $$ B. $$ f^{-1}(x)=\square $$, for all $$ x $$ c. $$ f^{-1}(x)=\square $$, for $$ x \leq \square $$ D. $$ f^{-1}(x)=\square $$, for $$ x 
eq \square $$

Edwards Cummings · Accepted Answer

$$ f^{-1}(x) = \frac{x - 5}{2} $$, for all $$ x $$

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