Home
Class 12
MATHS
Consider f:R -{-(4)/(3)} to R -{(4)/(3)}...

Consider `f:R -{-(4)/(3)} to R -{(4)/(3)}` given by `f(x) =(4x+3)/(3x+4)`. Show that f is bijective. Find the inverse of f and hence find `f^(-1)(0)` and x such that `f^(-1)(x)=2`.

Text Solution

Verified by Experts

The correct Answer is:
`f^(-1)(0)=(-3)/(4); x=(11)/(10)`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise TOPIC-01 (TOPIC TEST 1) |15 Videos

  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise TOPIC-02 PRACTICE QUESTION (Exam., Textbook.s Other Imp. Questions) (1 MARK Questions) |9 Videos

  • RELATIONS AND FUNCTIONS

    ARIHANT PRAKASHAN|Exercise TOPIC-01 PRACTICE QUESTION (Exam., Textbook.s Other Imp. Questions) (4 MARKS Questions) |12 Videos

  • PROBABILITY

    ARIHANT PRAKASHAN|Exercise Chapter test (6 mark question)|8 Videos

  • SIMILAR TEST 3

    ARIHANT PRAKASHAN|Exercise SECTION C|14 Videos