MHT-CET

Relation and Function question bank (Mathematics)

Practice 114 free MHT-CET Mathematics - Relation and Function questions with answers and step-by-step solutions.

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Q1.

If $f(x) = \frac{2x - 1}{x + 5}, x \neq -5$ then $f^{-1}(x)$ is equal to

(A)
$\frac{x + 5}{2x - 1}, x \neq \frac{1}{2}$
(B)
$\frac{5x + 1}{2 - x}, x \neq 2$
(C)
$\frac{5x - 1}{2 - x}, x \neq 2$
(D)
$\frac{x - 5}{2x + 1}, x \neq -\frac{1}{2}$
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Q2.

Let $f(x) = 3x^3 + 4e^x$ and $g(x) = f^{-1}(x)$. The value of $g'(4)$ is equal to...

(A)
$4$
(B)
$2$
(C)
$1$
(D)
$\frac{1}{4}$
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