MHT-CET

Functions question bank (Mathematics)

Practice 131 free MHT-CET Mathematics - Functions questions with answers and step-by-step solutions.

Start free Book a demo

All Easy Hard Medium

Q1.

If $f: \mathrm{R} \rightarrow \mathrm{R}, \mathrm{g}: \mathrm{R} \rightarrow \mathrm{R}$ are two functions defined by $f(x)=2 x-3, \mathrm{~g}(x)=x^{3}+5$ then $(\operatorname{fog})^{-1}(x)=$

(A)

$\left(\frac{2 x+3}{2}\right)^{\frac{1}{2}}$

(B)

$\left(\frac{x-7}{2}\right)^{\frac{1}{3}}$

(C)

$\left(\frac{x-7}{2}\right)^{\frac{1}{2}}$

(D)

$\left(\frac{x+7}{2}\right)^{\frac{1}{3}}$

Show answer & solution

Verified Answer & Solution Locked

Q2.

If $f(x)=\frac{4 x+7}{7 x-4}$, then the value of $f\{f[f(2)]\}=$

(A)

$\frac{3}{2}$

(B)

$\frac{2}{3}$

(C)

$\frac{35}{39}$

(D)

$\frac{39}{35}$

Show answer & solution

Verified Answer & Solution Locked

Protected Questions

Unlock All 49 Questions in Functions

Log in or sign up free to access every question with complete solutions, create chapter practice tests, and track your performance.

Sign up free to access all 49 questions

Unlock every Functions question, generate papers, and practice at your own pace.

Start free