If g(x) is the inverse of f(x) and f'(x)...

If `g(x)` is the inverse of `f(x) and f'(x) = (1)/( 1+ x^3)`, then `g'(x)` is equal to a)`g(x)` b)`1+g(x)` c)`1+ {g(x)}^3` d)`(1)/( 1+ {g(x)}^3)`

A

`g(x)`

B

`1+g(x)`

C

`1+ {g(x)}^3`

D

`(1)/( 1+ {g(x)}^3)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If f(x)=x+1 and g(x)=2x , then f{g(x)} is equal to

Let f(x)=-2x^(2)+1 and g(x)=4x-3 then (gof)(-1) is equal to

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

If f(x) = 3x + 5 and g(x) = x^(2) - 1 , then (fog) (x^(2) - 1) is equal to

If g(x)=int_(0)^(x)cos^(4)tdt , then g(x+pi) is equal to a) g(x)+g(pi) b) g(x)-g(pi) c) g(x).g(pi) d) (g(x))/(g(pi))

If f(x)=ax+b and g(x)=cx+d , then f[g(x)]-g[f(x)] is equivalent to a) f(a)-g(c) b) f(c)+g(a) c) f(d)+g(b) d) f(d)-g(b)

If f(x) is an invertible function and g(x) = 2f(x) + 5 , then the value of g^(-1)(x) is

Find gof(x) , if f(x)=8x^3 and g(x)=x^(1/3)