JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Analyzing +4 | -1

The function

f\left( x \right) = {\log _{2x - 5}}\left( {{x^2} - 3x - 10} \right)

is defined for all

x

belonging to

View answer and explanation

Correct option: B

\left( {5,\;\infty } \right)

Option B (

\left( {5,\\;\infty } \right)

) is correct because the argument of the logarithm must be positive, the base must be positive, and the base cannot be equal to 1.

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

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

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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\}