For H(x) = , Find Two Functions P and Q

question 178

Multiple Choice

For H(x) = , find two functions p and q such that (p ◦ q) (x) = H(x) . (Answers my vary.)

• A) p(x) = x - 10 and q(x) =
• B) p(x) = x² - 10 and q(x) =
• C) p(x) = and q(x) = x² - 10
• D) p(x) = and q(x) = x - 10

---

Definitions:

\(4e^x\)

An exponential function where the base is Euler's number (e) multiplied by 4, and \(x\) is the exponent.

Simplify

The process of altering an expression to make it easier to understand or work with, often by reducing it to its simplest form.

Simplify

The process of reducing an expression to its simplest form, making it easier to understand or solve.

\(8^x\cdot 8^{x-1}\)

An expression that can be simplified to \(8^{2x-1}\) using the properties of exponents.