Video-03 F Of F Inverse X And F Inverse Of F(X)

Let f" ":" "N ->R be a function defined as f(x)=4x^2+12 x+15 . Show that f" ":" "N-> S , where, S is the range of f, is invertible. Find the inverse of f.

Consider f:R rarr R given by f(x)=4x+3 Show that f is invertible.Find the inverse of f .

Consider f:RrarrR given by the following. Show that 'f'is invertible. Find the inverse of 'f'. f(x)=5x+2

Let function f:X rarr Y, defined as f(x)=x^(2)-4x+5 is invertible and its inverse is f^(-1)(x), then

Let g(x) be the inverse of an invertible function f(x), which is differentiable for all x, then g'f(x) is equal to

Let f:R to R be defined by f(x) =e^(x)-e^(-x). Prove that f(x) is invertible. Also find the inverse function.

Let g(x) be the inverse of an invertible function f(x) which is differentiable at x=c . Then g'(f(x)) equal.(a) f'(c)( b) (1)/(f'(c)) (c) f(c) (d) none of these

Find the inverse of f(x)={[x, 4

If f:A rarr B is a bijection then only f has inverse function II: The inverse function f:R^(+)rarr R^(+) defined by f(x)=x^(2) is f^(-1)(x)=sqrt(x)

If f(x)=|sin x| then domain of for the existence of inverse of