Home
Class 12
MATHS
Let R+ be the set of all non negative re...

Let R+ be the set of all non negative real numbers. Show that the function `f: R_(+) to [4, infty]` given by `f(x) = x^2 + 4` is invertible and write inverse of 'f'.

Answer

Step by step text solution for Let R+ be the set of all non negative real numbers. Show that the function f: R_(+) to [4, infty] given by f(x) = x^2 + 4 is invertible and write inverse of 'f'. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2016

    SUNSTAR PUBLICATION|Exercise PART - E|2 Videos

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2016

    SUNSTAR PUBLICATION|Exercise PART - C|14 Videos

  • P.U BOARD LATEST MODEL QUESTION PAPER - 3

    SUNSTAR PUBLICATION|Exercise PART-E|3 Videos

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY -2014

    SUNSTAR PUBLICATION|Exercise PART -E|4 Videos

Similar Questions

Explore conceptually related problems

Let R+ be the set of all non-negative real numbers. Show that the function f : R+ rarr [ 4 ,oo ] given by f(x) = x^(2) + 4 is invertible and write the inverse of f.

Let R_(+) be the set of all non-negative real numbers. Show that the function f:R_(+) to[4,oo] given by f(x)=x^(2) +4 is invertible and write the inverse of f.

Let R_(+) be the set of all non-negative real numbers. Show that the function f: R_(+) to [4,oo] defind by f(x) = x^(2)+4 Is invertible and write the inverse of f.

Let R+ be the set of all non-negative real number. Show that the faction f : R, to [4, oo) defined f(x) = x^(2) + 4 is invertible. Also write the inverse of f.

If R, is the set of all non - negative real numbers prove that the function f:R_(+) to [-5, infty]" defined by "f(x)=9x^(2)+6x-5 is invertible. Write also f^(-1)(x) .

Prove that the function f: R to R defined by f(x) = 4x + 3 is invertible and find the inverse of 'f' .

Show that the function f: R to R given by f (x) = x ^(3) is injective.

Show that the function f: R rarr R given by f(x) = 4x + 3 is invertible. Find the inverse of f.

If R_(+) is the set of all non-negative real numbers prove that the f:R_(+) to (-5, infty) defined by f(x)=9x^(2)+6x-5 is invertible. 39. Write also, f^(-1)(x) .

If R, is the set of all non-negative real numbers prove that the f : R, to [-5, oo) defined by f(x) = 9x^(2) + 6x - 5 is invertible. Write also f^(-1)(x) .

Home
Profile