Functions

Given $f(x)=x^{1/x}$ for $x>0$. The maximum value of $f(x)$ is:

If f: R → R is defined by f(x) = 2x + 3 and g: R → R is defined by g(x) = x² + 1, then (gof)⁻¹(10) e...

A function f: R → R is defined by f(x) = ax + b. If f(1) = 5 and f(3) = 13, then f(5) equals

The number of onto functions from a set A containing m elements to a set B containing n elements (m ...

If f: [0, ∞) → [0, ∞) is defined by f(x) = x/(1 + x), then f is

If f(x) = x/(x² + 1), then the range of f is

If f(x) = (1 - x)/(1 + x), then f(f(x)) equals

If f(x) = log(1 + x)/(1 - x), then f(2x/(1 + x²)) equals

The domain of the function f(x) = √(9 - x²) is

If f: [0, 1] → R is defined by f(x) = x³ - 6x² + 11x - 6 and g denotes the inverse of f on its range...

The period of the function f(x) = sin(4x) + cos(3x) is

The function f: R → R defined by f(x) = x³ + 5 is