Alg2 Unit 5 Test - Radicals Equations

Find ( f ⋅ g)(x) for f(x) = 𝑥 ² + 4 and g(x) = 7 – x.

If f(x) = x – 5 and g(x) = 𝑥 ² + 3, find f [g(–2)].

(a)  

What is the inverse function of ( f(x) = 5x + 10 )?

Be sure to write fractions using the fraction key

Explain why ( f(x) = 5x - 3 ) and $$g\ \left(x\right)=\left(\frac{\left(x+3\right)}{5}\right)$$ are inverse functions (or not).

In other words, if they are inverses, how so? If they are not inverses, how do you know?

What is the domain of $$y\ =\ \sqrt[]{2x-8}$$

What is the range of $$y\ =\ \sqrt[]{2x-8}$$

Combine and Simplify

$$5\sqrt[]{72}+\sqrt[]{75}-\sqrt[]{288}$$

Simplify

$$\sqrt[3]{24a^6b^5}$$

Simplify

$$\sqrt[]{98x^6y^4}$$

Simplify

$$\sqrt[]{\frac{25}{169}}$$