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 $f(x) = \cos(\log x)$,then the value of $f(x^2) \cdot f(y^2) - \frac{1}{2} \left[ f\left(\frac{x^2}{y^2}\right) + f(x^2 y^2) \right]$ is:

(A)

$-2$

(B)

$-1$

(C)

$\frac{1}{2}$

(D)

$0$

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Q2.

If $g(x)$ is the inverse function of $f(x)$, where $f(x) = \frac{5x + 3}{4x - 1}$, then $g(1) =$

(A)

$-4$

(B)

$-\frac{1}{4}$

(C)

$\frac{8}{3}$

(D)

$\frac{3}{8}$

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