Composite Functions
Algebra practice on composite functions: fog and gof, nested formulas, recursive definitions and symbol-defined operations, with written solutions for most questions.
- 41 Qs
Untimed concept drills
Topic-wise question sets for practising one concept at a time. Every answer is checked the moment you give it, with the solution beside it, and there is no clock unless you choose one.
Algebra practice on composite functions: fog and gof, nested formulas, recursive definitions and symbol-defined operations, with written solutions for most questions.
Algebra practice on the domain and range of square root, rational, logarithmic and modulus functions, plus maximum and minimum functions, with written solutions for every question.
Intermediate functions and graphs practice on shifts, inverse functions, greatest integer and fractional parts, and even-odd checks on exponential and logarithmic forms.
Basic practice on identical functions, even and odd functions, graph symmetry and reading curves of modulus, logarithm and shifted cubic functions.
Level 2 algebra practice on modulus-based quadratics, polynomial inequalities with repeated factors, rational inequalities and biquadratics, with worked solutions for most questions.
Free Level 1 practice on quadratic, modulus and square-root inequalities, building the sign-analysis and domain-checking skills needed for algebra in aptitude exams.
Level 3 quadratic equation practice on root location, greatest integer and modulus equations, cubic roots and graph-based counting of real solutions.
Level 2 quadratic equation practice on nature of roots, root ratios, common roots, cubic equations and speed and fraction word problems built on quadratics.
A Level 1 practice set on quadratic equations covering sum and product of roots, equal-root conditions, greatest and least values and forming equations from given roots.
Tell us the topic and a mentor will call you back to work through it with you.
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One topic at a time, untimed, with each answer checked and explained as you go.
The same topics as the exam actually asked them, in Normal practice first.
Previous year papersA short timed test that shows which topics still cost you marks.
AssessmentsThe whole paper against the clock, in the real computer-based format.
Mock tests