Let `f: RR->RR` defined as `f(x)=(2x-3)/5` be an invertible function. What is `f^(-1).`

Let f:RR to RR be defined as f(x)=(x^2-x+4)/(x^2+x+4). Then the range of the function f(x) is____

let A =RR-{-(1)/(2)} and B=RR -{(1)/(2)} . Prove that function f: A rarr B define by , f(x)=(x+2)/(2x+1) is invertible and hence find f^(-1) (x)

Let f: RR to RR be defined by f(x)=1 -|x|. Then the range of f is

Let A=RR - {3} and B =RR-{1} . Prove that the function f: A rarr B defined by , f(x)=(x-2)/(x-3) is one-one and onto. Find a formula that defines f^(-1)

If f : RR to RR is defined by f (x) = 2x -3, then prove that f is a bijection and find its inverse.

Let f:RR rarr RR be the function defined by f(x)=x+1 . Find the function g:RR rarr RR , such that (g o f)(x)=x^(2)+3x+3

Let the function f:RR rarr RR be defined by , f(x)=4x-3 .Find the function g:RR rarr RR , such that (g o f) (x)=8x-1