Let the function f: RR rarr RR be defin...

Let the function `f: RR rarr RR ` be defined by, `f(x)=x^(3)-6`, for all `x in RR` . Show that, f is bijective. Also find a formula that defines `f ^(-1) (x)` .

Similar Questions

Explore conceptually related problems

If the function f: R to R is defined by f(x) =(x^(2)+1)^(35) for all x in RR then f is

Prove that, the function f: RR rarr RR defined by f(x)=x^(3)+3x is bijective .

Let the function f:RR rarr RR be defined by f(x)=x^(2) (RR being the set of real numbers), then f is __

Prove that the function f: RR rarr RR defined by, f(x)=sin x , for all x in RR is neither one -one nor onto.

Let t the function f:RR to RR be defined by, f(x)=a^x(a gt0 ,a ne1). Find range of f

The function f : RR to RR is defined by f(x) = sin x + cos x is

Let the function f:RR rarr RR and g:RR be defined by f(x) = sin x and g(x)=x^(2) . Show that, (g o f) ne (f o g) .

Prove that the mapping f: RR rarr RR defined by , f(x)=x^(2)+1 for all x in RR is neither one-one nor onto.

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

Let f: RR rarr RR be a function defined by f(x)=ax+b , for all x in RR . If (f o f)=I_(RR) Find the value of a and b.