JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Let

f: N \rightarrow Y

be a function defined as

f(x)=4 x+3

where

Y=\{y \in N: y=4 x+3

for some

x \in N\}

. If

f

is invertible, then its inverse is

View answer and explanation

Correct option: A

g(y)=\frac{y-3}{4}

Option A (

g(y)=\frac{{y-3}}{{4}}

) is correct because it is found by solving the equation y = 4x + 3 for x in terms of y, which gives the inverse function.

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\}