Home
Class 12
MATHS
Let f : N ->Rbe a function defined as f...

Let `f : N ->R`be a function defined as `f(x)=4x^2+12 x+15`. Show that `f : N-> S`, where, S is the range of f, is invertible. Find the inverse of f.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise FREQUENTLY ASKED QUESTIONS|15 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTIONS FROM NCERT EXEMPLAR|5 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise MOCK TEST SECTION D|6 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Let f:N rarr R be a function defined as f(x)=4x^(2)+12x+15 . Show that f:N rarr S , where S is the range of f, is invertible. Also find the inverse of f. Hence find f^(-1)(31) .

Let f:N rarr R be a function defined as f(x)=4x^(2)+12x+15. show that f:N rarr S, where S is the range of f, is invertible.Also find the inverse of f

Let f:vec N be a function defined as f(x)=9x^(2)+6x-5. Show that f:Nvec S where S is the range of f, is invertible.Find the inverse of f and hence f^(-1)(43) and f^(-1)(163)

Let f:N rarr Z be a function defined as f(x)=x-1000. Show that f is an into function.

Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2) , then f is

Let f:R to R be a function defined by f(x)=(x^(2)-8)/(x^(2)+2) . Then f is

Let f : N rarr R be a function defined by f(x) = 4x^(2) + 5 . Then f (2), f(3), f(5), f(6) is :

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