JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

Let

R

be the set of real numbers and the mapping

f:R \to R\;and\;g:R \to R

be defined by

f\left( x \right) = 5 - {x^2}\;and\;g\left( x \right) = 3x - 4

, then the value of

\left( {fog} \right)\left( { - 1} \right)

View answer and explanation

Correct option: A

-44

Option A (-44) is correct because it is the result of evaluating the composite function (fog)(-1) by first finding g(-1) and then substituting that value into f(x).

More Questions from FUNCTIONS

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

, where

f(x)=x(4-x)

, then

f^{-1}(x)

is given by: If

g(f(x))=|\sin x|

and

f(g(x))=(\sin \sqrt{x})^2

, then Let

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

be defined by

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

, then

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

equals Let

f: R \rightarrow R

be defined as

f(x)=x^4

, Choose the correct answer. Which of the following functions are odd functions Let

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

. Then the set

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

contains