Given F(x) and G(x), Find the Indicated Composition and State $\mathrm { f } ( \mathrm { x } ) = 8 \sqrt { \mathrm { x } + 2 }$

question 77

Multiple Choice

Given f(x) and g(x) , find the indicated composition and state its domain.
-For $\mathrm { f } ( \mathrm { x } ) = 8 \sqrt { \mathrm { x } + 2 }$ and $\mathrm { g } ( \mathrm { x } ) = 4 \mathrm { x } + 10$ , what is the domain of $\mathrm { f } \cdot \mathrm { g }$ ?

• A) \([ - 3 , \infty )\)
• B) \(( - \infty , - 3 ]\)
• C) \([ 3 , \infty )\)
• D) \([ - 2 , \infty )\)