Home
Class 12
MATHS
Consider f:RR(+) rarr [-5, infty) given ...

Consider `f:RR_(+) rarr [-5, infty)` given by `f(x)=9x^(2)+6x-5`.
Show that f is invertible with `f^(-1) (y) =(sqrt(y+6)-1)/(3)`

Promotional Banner

Topper's Solved these Questions

  • MAPPING OR FUNCTION

    CHHAYA PUBLICATION|Exercise Sample questions|5 Videos
  • MAPPING OR FUNCTION

    CHHAYA PUBLICATION|Exercise Sample questions (Integer anawer type B)|5 Videos
  • MAPPING OR FUNCTION

    CHHAYA PUBLICATION|Exercise EXERCISE 2 C ( Vary short answer quations)|8 Videos
  • LOGARITHM

    CHHAYA PUBLICATION|Exercise Long Answer Type Question|12 Videos
  • MATHEMATICAL REASONING

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive (2016 )|1 Videos

Similar Questions

Explore conceptually related problems

Consider f: R _(+) to [-5, oo) given by f (x) = 9x ^(2) + 6x -5. Show that f is invertible with f ^(-1) (y) = ((sqrt(y +6) -1)/(3)).

Consider f: R _+ to [4, oo) given by f (x) = x ^(2) + 4. Show that f is invertible with the inverse f ^(-1) given by f ^(-1) (y) = sqrt (y -4), where R _(+) is the set of all non-negative real numbers.

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

Let RR^(+) be the set of positive real numbers and f: RR rarr RR ^(+) be defined by f(x) =e^(x) . Show that, f is bijective and hence find f^(-1)(x)

If f:[1, infty)rarr[2, infty) given by f(x)=x+1/x then find f^(-1)(x) , (assume bijective).

If the function f:[1, infty) rarr [1, infty) is defined by f(x)=2^(x(x-1)) , then find f^(-1)(x)

Let, a in RR and let f:RR to RR be given by f(x)=x^(5)-5x-a . Then

Let the function f: QQ be defined by f(x)=4x-5 for all x in QQ . Show that f is invertible and hence find f^(-1)

If f:[1,infty)rarr[2,infty) is defined as f(x)=x+(1/x) then find f^(-1)(x)

Let the function f: RR rarr RR be given by , f(x)=3x^(2)-14x+10 . Find (i) f^(-1)(4), (ii) f^(-1) (-8)