Home
Class 12
MATHS
f:R to R is a function defined by f(x)=1...

`f:R to R` is a function defined by f(x)=`10x -7, if g=f^(-1)` then g(x)=

A

`(1)/(10x-7)`

B

`(1)/(10x+7)`

C

`(x+7)/(10)`

D

`(x-7)/(10)`

Text Solution

Verified by Experts

The correct Answer is:
C
`f : R rarr R`
implies f(x) = 10x - 7
It is clear that f is one-one and onto.
`therefore` Let y = 10 x - 7
`therefore x=(y+7)/(10)=f^(-1)(y)`
`g(x)=f^(-1)(x)=(x+7)/(10)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f:R to R, g: R to R be two functions given by f(x)=2x-3,g(x)=x^(3)+5 . Then (fog)^(-1) is equal to

If f: [(2,oo) rarr R be the function defined by f(x) =x^(2) - 4x +5 , then the range of f is ...........

f and g are real functions defined by f(x)= 2x + 1 and g(x) =4x -7. If f(x) = g(x) then x = …. .

Let f and g be real functions defined by f(x)= 2x + 1 and g(x)= 4x- 7 . For what real numbers x, f(x) lt g(x) ?

f and g are real functions defined by f(x)= 2x + 1 and g(x) =4x -7. If f(x) < g(x) then x … 4 .

If f and g are real functions defined by f(x)= x^(2) + 7 and g(x)= 3x + 5 . Then, find each of the following f(-2) + g(-1)

If f and g are real functions defined by f(x)= x^(2) + 7 and g(x)= 3x + 5 . Then, find each of the following f((1)/(2)) xx g (14)

If f and g are real functions defined by f(x)= x^(2) + 7 and g(x)= 3x + 5 . Then, find each of the following f(1)-f(-2)

Let f : R rarr R be the function defined by f(x) = 2x - 2 , AA x in R . Write f^(-1) .