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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

If

f(x)=x^2-1

and

g(x)=3 x+1

, then

(g \circ f)(x)=

View answer and explanation

Correct option: C

3 x^2-2

Option C (

3x^2 - 2

) is correct because substituting

f(x)

into

g(x)

results in

3(x^2 - 1) + 1 = 3x^2 - 2

.

More Questions from FUNCTIONS

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

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f^{-1}(x)

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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\}