91Ó°ÊÓ

In Exercises 37–44, solve the inequality. $$ 2 \sqrt{x}+3 \leq 8 $$

\(5 \sqrt{12}-19 \sqrt{3}\)

Find the real solution(s) of the equation. Round your answer to two decimal places when appropriate. (See Example 4.) \(x^3+40=25\)

In Exercises 35–46, determine whether the inverse of \(f\) is a function. Then find the inverse. $$ f(x)=2 x^3-5 $$

In Exercises 37–44, solve the inequality. $$ \sqrt[3]{x+7} \geq 3 $$

Let \(g\) be a reflection in the \(y\)-axis, followed by a translation 1 unit right of the graph of \(f(x)=2 \sqrt[3]{x-1}\).

\(27 \sqrt{6}+7 \sqrt{150}\)

Find the real solution(s) of the equation. Round your answer to two decimal places when appropriate. (See Example 4.) \(\frac{1}{3} x^4=27\)

Let \(g\) be a horizontal shrink by a factor of \(\frac{2}{3}\), followed by a translation 4 units left of the graph of \(f(x)=\sqrt{6 x}\).

In Exercises 37–44, solve the inequality. $$ -2 \sqrt[3]{x+4}<12 $$