one-to-one function f(x) satisfies f(0) = 0 and f(x) 0 If ∫a0f(x)dx = Afor a > 0, find an expression for ∫a0f( )f -1(x)dx.

If f(x) = 3𝑥−3x−33​ , then f -1(x) =

b) f(x) = 3𝑥2;     𝑑𝑓𝑑𝑥(1)= therefore the function is

Find f −1.f −1(x) =

If f(x)=3−x23−x𝑓(𝑥)=3-𝑥23-𝑥, what is f(2)𝑓(2)? -1 2 -2 1

Let f : X → Y and g : Y → X. If g ◦ f is an identity function on X and f ◦ g is an identityfunction on Y , then, show that(a) f is one-one(b) f is onto(c) g = f −1