Home
Class 12
MATHS
if f(x) and g(x) are continuous function...

if `f(x)` and `g(x)` are continuous functions, `fog` is identity function, `g'(b) = 5` and `g(b) = a` then `f'(a)` is

A

`2/5`

B

`1/5`

C

`3/5`

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) and g(x) are continuous functions satisfying f(x) = f(a-x) and g(x) + g(a-x) = 2 , then what is int_(0)^(a) f(x) g(x)dx equal to ?

If f(x) be continuous function and g(x) be discontinuous, then

If f(x) and g(x) are continuous functions satisfying f(x)=f(a-x) and g(x)+g(a-x)=2 then what is int_0^a f(x) g(x) dx equal to

If f(x) and g(x) are linear functions of x and f(g(x)) and g(f(x)) are identity functions and if f(0)=4 and g(5)=17, compute f(2006)

If f(x) and g(x) are continuous functions in [a,b] and are differentiable in (a,b) then prove that there exists at least one c in(a,b) for which.det[[f(a),f(b)g(a),g(b)]]=(b-a)det[[f(a),g'(c)]], where a

If f(x)=sqrt(1-x) and g(x)=log x are two functions,then describe functions fog and gof.

If f(x) and g(x) be continuous functions in [0,a] such that f(x)=f(a-x),g(x)+g(a-x)=2 and int_0^a f(x)dx=k , then int_0^a f(x)g(x)dx= (A) 0 (B) k (C) 2k (D) none of these