Show `f:R rarr R` defined by `f(x)=x^(2)+4x+5` is into

Show f:R rarr R " defined by " f(x)=x^(2)+x " for all " x in R is many-one.

Consider a function f:R rarr R defined by f(x)=x^(3)+4x+5 , then

f:R->R defined by f(x) = x^2+5

Let f : R rarr R be defined by f(x) = x^(2) - 3x + 4 for all x in R , then f (2) is equal to

Find the inverse of the function f : R rarr R defined by f(x) = 4x - 7 .

Let f : R rarr R be defined by f(x) = x^(2) + 3x + 1 and g : R rarr R is defined by g(x) = 2x - 3, Find, (i) fog (ii) gof

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

Show that the function f : R rarr R defined by f(x) = cos (5x+3) is neither one-one not onto.

The function f:R rarr R defined by f(x) = 6^x + 6^(|x| is

A function f : R rarr R defined by f(x) = x^(2) . Determine (i) range of f (ii). {x: f(x) = 4} (iii). {y: f(y) = –1}