State whether $x=2$ is a function or not.

Given \(f\left( 1 \right) = 2\), \(g\left( 4 \right) = 5\), \(\left( {g \circ f} \right)\left( 1 \right) = 3\) and \(\left( {g \circ f} \right)\left( 2 \right) = 5\), find \(f\left( 2 \right) + g\left( 2 \right)\).

Determine whether \(f\left( x \right) = \dfrac{1}{{1 – 2{x^2}}}\) is odd, even or neither.

Find the vertical and horizontal asymptotes of \(y = \dfrac{{x – 2}}{{x – 1}}\).

If the domain of \(y = 2x – 1\) is \(1 \le x < 2\), state the range of \({y^{ - 1}}\).

Find the vertical asymptote(s) of \(f\left( x \right) = \dfrac{1}{{{x^2} + 4x + 3}}\).

Find the equation of the graph in red, where the graph of $y=e^x$ is given in blue.

Express \({\log _b}108\) in terms of \(x,y\) or \(z\) , given \(x = {\log _b}2,y = {\log _b}3,z = {\log _b}5\).

Solve \({\log _5}x = {\log _5}8 – {\log _5}\left( {6 – x} \right)\).

The mass of radioactive \(t \) hours after establishment is \({R_t} = 800 \times {0.8^{0.5t}}\) grams. Find the time for the mass to reach 300 grams. Answer correct to the nearest minute.