If `f: Rvec` is defined by `f(x)=2x+7.` Prove that `f` is a bijection. Also, find the inverse of `fdot`

If f:R-R is defined by f(x)=2x+7. Prove that f is a bijection. Also, find the inverse of f .

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.

If f: R->R be the function defined by f(x)=4x^3+7, show that f is a bijection.

If f: RvecR be the function defined by f(x)=4x^3+7, show that f is a bijection.

If f: R->R be the function defined by f(x)=4x^3+7 , show that f is a bijection.

Show that f:Q to Q, f(x) = 5x+4 is a bijection and find the inverse of 'f'.

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

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

Let f(x) = ([x]+1)/({x}+1) for f: [0, (5)/(2) ) to ((1)/(2) , 3] , where [*] represents the greatest integer function and {*} represents the fractional part of x. Draw the graph of y= f(x) . Prove that y=f(x) is bijective. Also find the range of the function.

If f is defined by f(x)=x^2 , find f\ '\ (2) .