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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Let

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

be given by

f\left( x \right) = 3{x^2} + 2\;and\;g\left( x \right) = 3x - 1

for all

x \in R.

Then,

View answer and explanation

Correct option: A

fog\left( x \right) = 27{x^2} - 18x + 5

Option A (

fog(x) = 27x^2 - 18x + 5

) is correct because it is the result of substituting g(x) into f(x).

More Questions from FUNCTIONS

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

f(x)=x(4-x)

f^{-1}(x)

is given by: If

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

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

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

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