If $f (x) = 3 x - 5, t h e n f^{- 1} (x)$ .

is given by

\frac{1}{3 x - 5}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

is given by

\frac{x + 5}{3}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

does not exist because f is not one-one

No worries! We‘ve got your back. Try BYJU‘S free classes today!

does not exist because f is not onto

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C is given by $\frac{x + 5}{3}$
Given, $f (x) = 3 x - 5$

Let $y = f^{- 1} (x)$

$\Rightarrow x = f (y) = 3 y - 5$

$\Rightarrow y = \frac{x + 5}{3}$

Suggest Corrections

Similar questions

f : R \to R is given by f (x) = 3 x - 5, then f^{- 1} (x)

\frac{1}{3 x - 5}

\frac{x + 5}{3}

f : R - {\frac{3}{5}} \to R - {\frac{3}{5}}

f (x) = \frac{3 x + 1}{5 x - 3}

F e I_{3}

[C u C l_{4}]^{2 -}

[C u I_{4}]^{2 -}

P C l_{5}

N C l_{5}

Join BYJU'S Learning Program