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India
Class XI

Algebra of Functions

Interactive practice questions

Given the following values:

$f\left(2\right)=4$f(2)=4, $f\left(7\right)=14$f(7)=14, $f\left(9\right)=18$f(9)=18, $f\left(8\right)=16$f(8)=16

$g\left(2\right)=8$g(2)=8, $g\left(7\right)=28$g(7)=28, $g\left(9\right)=36$g(9)=36, $g\left(8\right)=32$g(8)=32

Find $\left(f+g\right)$(f+g)$\left(2\right)$(2)

Easy
1min

Given that $f\left(x\right)=x-7$f(x)=x7 and $g\left(x\right)=8x+7$g(x)=8x+7, find $\left(fg\right)\left(x\right)$(fg)(x) in expanded form.

Easy
2min

Given the following values:

$f\left(2\right)=4$f(2)=4, $f\left(5\right)=10$f(5)=10, $f\left(9\right)=18$f(9)=18, $f\left(6\right)=12$f(6)=12

$g\left(2\right)=8$g(2)=8, $g\left(5\right)=20$g(5)=20, $g\left(9\right)=36$g(9)=36, $g\left(6\right)=24$g(6)=24

Easy
< 1min

Let $f\left(x\right)=x^2-1$f(x)=x21 and $g\left(x\right)=5x-1$g(x)=5x1.

Easy
1min
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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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