91Ó°ÊÓ

In Exercises 27–34, solve the equation. Check your solution(s). $$ x^{1 / 4}+3=0 $$

Solve the literal equation for n. $$ 5 z=7 n+8 n z $$

Evaluate the expression using a calculator. Round your answer to two decimal places when appropriate. (See Example 3.) \(20,736^{4 / 5}\)

\(g(x)=\sqrt{x^2+x}\)

\(\frac{1}{1+\sqrt{3}}\)

\(h(x)=\sqrt{x^2-2 x}\)

In Exercises 29 and 30, describe and correct the error in finding the inverse of the function. $$ \begin{aligned} f(x) &=\frac{1}{7} x^2, x \geq 0 \\ y &=\frac{1}{7} x^2 \\ x &=\frac{1}{7} y^2 \\ 7 x &=y^2 \\ \pm \sqrt{7 x} &=y \end{aligned} $$

In Exercises 27–34, solve the equation. Check your solution(s). $$ 2 x^{3 / 4}-14=40 $$

Solve the literal equation for n. $$ 3 n b=5 n-6 z $$

\(\frac{1}{2+\sqrt{5}}\)