Home
Class 12
MATHS
If f(x)=3x-2 and (gof)^(-1)=x-2 then fin...

If `f(x)=3x-2` and `(gof)^(-1)=x-2` then find the function of `g(x)`

Text Solution

Verified by Experts

The correct Answer is:
`(x+8)/3`
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=3x-2 and (gof)^(-1)(x)=x-2 then find the function g(x)

If f(x)=3x-2 and (gof)^(-1)(x)=x-2 then write the value of g(10)

If f(x)=3x-1 and g(x)=x^(2)+1 then gof=

If f(x)=4x^(2) and g(x)=x^(1/2) then find gof and fog.

If f:R rarr R,g:R rarr R defined as f(x)=sin x and g(x)=x^(2), then find the value of (gof)(x) and (fog)(x) and also prove that gof f= fog.

Q.if the function f(x)=x^(3)+(e^(x))/(2) and g(x)=f^(-1)(x), then find the value of g'(1)

If f(x)=(ax^(2)+b)^(3), then find the function g such that f(g(x))=g(f(x))

Suppose that g(x)=1+sqrt(x) and f(g(x))=3+2sqrt(x)+x. Then find the function f(x) .

If the functions f and g defined from the set of real number R to R such that f(x) = e^(x) and g(x) = 3x - 2, then find functions fog and gof. Also, find the domain of the functions (fog)^(-1) and (gof)^(-1) .

If f(x) = 4x^2 and g(x) = x^(1/2) then find gof and fog