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

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 is continuous and g is a discontinuous function then f+g is continuous function.

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 and g are continuous functions with f(3)=5 and lim_(x to 3)[2f(x)-g(x)]=4 , find g(3).