Goodmarks

Mathematics · JEE

Online Practice: The composition of functions for JEE

3+ syllabus-aligned questions available

Quick answer

Goodmarks provides free online JEE practice for The composition of functions with 3+ MCQs, instant answer checking, and full solutions. Sign up to unlock the complete question bank and topic-wise filters.

Sharpen your mathematics preparation with interactive online practice for The composition of functions. Goodmarks offers 3+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

Free sample questions

Attempt 3 free MCQs for The composition of functions. Unlock the full bank with Pro.

Unlock full bank
Q1MathsUnit 1: Sets, Relations and Functions
Let f(x)=2100x+1\boldsymbol{f}(\boldsymbol{x})=\mathbf{2}^{100} \boldsymbol{x}+\mathbf{1} g(x)=3100x+1\boldsymbol{g}(\boldsymbol{x})=\boldsymbol{3}^{100} \boldsymbol{x}+\mathbf{1} Then the set of real numbers x such that f(g(x))=x\boldsymbol{f}(\boldsymbol{g}(\boldsymbol{x}))=\boldsymbol{x} is
Q2MathsUnit 1: Sets, Relations and Functions
Assertion Let ff and gg be increasing and decreasing functions respectively from [0,∞][0, \infty] to [0,∞].Let⁡h(x)=f(g(x)).[0, \infty] . \operatorname{Let} h(x)=f(g(x)) . If h(0)=0,h(0)=0, then h(x)h(x) is always zero Reason h(x)h(x) is an increasing function of xx
Q3MathsUnit 1: Sets, Relations and Functions
Read the following information and answer the three items that follow: Let f(x)=x2+2x−5\boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{2} \boldsymbol{x}-\boldsymbol{5} and g(x)=\boldsymbol{g}(\boldsymbol{x})= 5x+305 x+30 What are the roots of the equation g[f(x)]=0?\boldsymbol{g}[\boldsymbol{f}(\boldsymbol{x})]=\mathbf{0} ?

Want unlimited The composition of functions practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started freeView Pro plans

Frequently asked questions

How do I practice The composition of functions online for JEE?

Open this page, attempt the free sample MCQs, then sign up on Goodmarks to access the full The composition of functions question bank with topic filters and detailed explanations.

How many The composition of functions questions are available?

Goodmarks currently has 3+ JEE-aligned MCQs for The composition of functions, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including The composition of functions.

Do I get solutions after each question?

Every question includes the correct answer and a step-by-step explanation. Free users can practise a random mix; Pro unlocks full subject and topic filters.

Related topics