Let `f : R rarr R : f(x) = (2x-3)/(4)` be an invertible function. Find `f^(-1)`.

If f : R rarr R defined by f(x) = (2x-7)/(4) is an invertible function, then f^(-1) =

Prove that the function f : R to R defined by f(x)= 2x+ 7 , is invertible. Hence find f^(-1)

Show that the function f : R to defined by f (x) = x^(3) + 3 is invertible. Find f^(-1) . Hence find f^(-1) (30)

Function f : R rarr R , f(x) = x + |x| , is

Let f : R rarr R be defined by f(x) = cos (5x+2). Is f invertible? Justify your answer.

Let f : R rarr R be a differentiable function satisfying f(x) = f(y) f(x - y), AA x, y in R and f'(0) = int_(0)^(4) {2x}dx , where {.} denotes the fractional part function and f'(-3) = alpha e^(beta) . Then, |alpha + beta| is equal to.......

Prove that the function f: R->R defined as f(x)=2x-3 is invertible. Also, find f^(-1) .

The function f:R rarr R, f(x)=x^(2) is

Let f : R rarr R and g : R rarr R be two given functions defined as f(x) = 3x^(2) + 2 and g(x) = 3x-1, AA x in R Then find [(gof)(x)] at x = 1.

Let f:R rarr R and f(x)=(3x^(2)+mx+n)/(x^(2)+1) . If the range of this function is [-4,3] , then the value of (m^(2)+n^(2))/(4) is ….