If f\((x) = x + 4\) and \(\displaystyle{g{{\left({x}\right)}}}={4}{x}²\), find \((f + g)(x)\ and\ (f + g)(2).\)

Given that \(f(x) = 3x - 7\) and that \((f + g)(x) = 7x + 3\), find g(x).

Find the linear approximation of the function \(f(x)=\sqrt{1-x}\) at \(a=0\) and use it to approximate the numbers \(\sqrt{0.9}\) and \(\sqrt{0.99}\).

Write a third-degree polynomial in standard form with roots \(x = 4\) and \(x - 2i\).

\(\displaystyle{f{{\left({x}\right)}}}={a}{\left({x}−{4}\right)}{\left({x}−{2}{i}\right)}{\left({x}+{2}{i}\right)}\)

Find the range of the function \( f(x) =\) \(\displaystyle {\left({x} + {4}\right)}^{{2}}+{5}\)

Perform the following operations with real numbers. \(9 + (-18)\)

Determine the absolute value of each of the following complex numbers: \(z=3+4i\)

Solve the absolute value and find intervals. \(|\frac{2}{x}-4|<3\)

Degree 3; zeros: \(3,\ 4 - i\)

If f and g are both even functions, is \(f + g\) even? If f and g are both odd functions, is\( f+g\) odd? What if f is even and g is odd? Justify your answers.