Home
Class 12
MATHS
Let f:R to R be defined by f(x)=3x-4. Th...

Let `f:R to R` be defined by `f(x)=3x-4`. Then, `f^(-1)`(x) is

A

`(1)/(3)(x+4)`

B

`(1)/(3)x-4`

C

`3x+4`

D

not defined

Text Solution

Verified by Experts

The correct Answer is:
A
`f : R rarr R`
`implies f(x) = 3x - 4`
f is one-one onto function.
`therefore` Let y = 3x - 4
`x = (y+4)/(3)`
Replace x by y implies `y = (x+4)/(3)=f^(-1)(x)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Let the f : R to R be defined by f(x)=2x+cos x , then f …………….

If f : R rarr R be given by f(x) = tan x , then f^(-1)(1) is .......

Let the function f:R to R be defined by f(x)=cos x, AA x in R. Show that f is neither one-one nor onto.

Draw the graph of the function f: R to R defined by f(x)=x^(3), x in R .

Let f, g : R to R be defined, respectively byt f(x)=x+1, g(x)=2x-3. Find f+g, f-g and f/g .

Let f: R rarr R be defined by f(x) = 3x^(2) - 5 and g : R rarr R, g(x) = x/(x^(2)+1) Then gof is ...........

If f : R rarr R be defined by f(x) = 1/(x) , AA x in R . Then , f is .........

Let f : R rarr R be defined by f(x) = cos (5x+2) . Is f invertible? Justify your answer.

If f: N rarr R be the function defined by f(x) = (2x-1)/2 and g : Q rarr R be another function defined by g(x) = x+2 . Then , gof (3/2) is .......

Let f : R rarr R be defined as f(x) = 3x . Choose the correct answer.