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India
Class XI

Composite Functions

Interactive practice questions

Given the functions $f\left(x\right)=4x-10$f(x)=4x10 and $g\left(x\right)=3+\frac{4}{x}$g(x)=3+4x, evaluate $f\left(g\left(2\right)\right)$f(g(2)).

Easy
2min

Consider the functions $f\left(x\right)=-2x-3$f(x)=2x3 and $g\left(x\right)=-2x-6$g(x)=2x6.

Easy
3min

Consider the functions $f\left(x\right)=-2x-8$f(x)=2x8 and $g\left(x\right)=4x^2-4$g(x)=4x24.

Easy
5min

Consider the functions $f\left(x\right)=-2x+2$f(x)=2x+2, $g\left(x\right)=4x^2-8$g(x)=4x28 and $r\left(x\right)=-3x-8$r(x)=3x8.

Easy
2min
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Outcomes

11.SF.RF.2

Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions.

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