JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Let

\mathrm{f}(\mathrm{x})=\mathrm{ax}+\mathrm{b}

is a function such that

\mathrm{f}^{-1}(2)=3, \mathrm{f}^{-1}(-3)=6

, where

\mathrm{f}^{-1}(\mathrm{x})

is the inverse of function

\mathrm{f}

then

\mathrm{a}+\mathrm{b}

is equal to

View answer and explanation

Correct option: B

\frac{16}{3}

Option B (

\frac{16}{3}

) is correct because by using the given inverse function values, we can find the values of

a

and

b

and then calculate

a+b

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