Consider `f: R _(+) to [-5, oo)` given by `f (x) = 9x ^(2) + 6x -5.` Show that f is invertible with `f ^(-1) (y) = ((sqrt(y +6) -1)/(3)).`

Consider f:RR_(+) rarr [-5, infty) given by f(x)=9x^(2)+6x-5 . Show that f is invertible with f^(-1) (y) =(sqrt(y+6)-1)/(3)

Consider f: R _+ to [4, oo) given by f (x) = x ^(2) + 4. Show that f is invertible with the inverse f ^(-1) given by f ^(-1) (y) = sqrt (y -4), where R _(+) is the set of all non-negative real numbers.

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

Let the function f: QQ be defined by f(x)=4x-5 for all x in QQ . Show that f is invertible and hence find f^(-1)

If f(x) = 6x^3 + 4x^2 + 3x +2 , find the values of f(-1), f (1/3) and f(sqrt2) .

If the function f: R to R is defined by f(x)=x^(2)-6x-14 , then f^(-1)(2) is equal to -

Let f : X to Y be an invertible function. Show that the inverse of f ^(-1) is f, i.e., (f ^(-1)) ^(-1)=f.

Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by (a)sqrt(x+3) (b) sqrt(x)+3 (c) x+sqrt(3) (d) none of these

Let R be the set of all real numbers f:RrarrR be given by f(x)=3x^2+1 .Then the set f^(-1) , (1,6) is

If f(x + y) = f(x) - f(y), forall x, y in R , then show that f(3) = f(1)