JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

Let

f

be a function satisfying

2 f(x)-3 f(1 / x)=x^2

for any

x \neq 0

. Then the value of

f(2)

View answer and explanation

Correct option: B

-7 / 4

Option B (-7/4) is correct because it is the solution obtained by solving the system of equations derived from the given functional equation.

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f:(-\infty, 2] \longrightarrow(-\infty, 4]

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f^{-1}(x)

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f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

f\left( x \right) = x - \left[ x \right]

{f^{ - 1}}\left( x \right)

f: R \rightarrow R

f(x)=x^4

f(x)=(x+1)^2-1(x \geq-1)

S=\left\{x: f(x)=f^{-1}(x)\right\}