Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

The inverse of the function f : R → R given by $f(x)=2 x+7$ is:

Options:

$2(x+7)$

$\frac{x+7}{2}$

$x-7$

$\frac{x-7}{2}$

Correct Answer:

$\frac{x-7}{2}$

Explanation:

The correct answer is Option (4) - $\frac{x-7}{2}$

$f(x)=2x+7$

$⇒y=2x+7⇒y-7=2x$

$⇒x=\frac{y-7}{2}$

so $f^{-1}(x)=\frac{x-7}{2}$