JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

Let

f:R \to R,g:R \to R

be two functions given by

f\left( x \right) = 2x - 3,g\left( x \right) = {x^3} + 5.

Then,

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

is equal to

View answer and explanation

Correct option: A

{\left( {\frac{{x - 7}}{2}} \right)^{1/3}}

Option A (

{\left( {\frac{{x - 7}}{2}} \right)^{1/3}}

) is correct because it represents the inverse of the composite function f(g(x)).

More Questions from FUNCTIONS

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

f(x)=x(4-x)

f^{-1}(x)

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

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

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\}