Functions

Determine the range of values for which the function $$ y = \sqrt{x - 2} + \sqrt{8 - x} $$ is defined. ...

If $$ f(x) $$ is an odd function, the graph $$ y = f(x) $$ will be symmetric about which point or axis? ...

If $$ u(t) = 4t - 5 $$, $$ v(t) = t^2 $$, and $$ f(t) = \frac{1}{t} $$, find the formula for $$ u(f(v(t))) $$. ...

Determine the domain of the function: $$ y = \sqrt{\frac{x - 3}{x + 3}} + \sqrt{\frac{1 - x}{1 + x}}. $$ ...

Find the minimum value of the function $$ f(x) = \log_2(x^2 - 2x + 5) $$. ...