Still have math questions?

Ask our expert tutors
Algebra
Question

For the functions \( f ( x ) = 7 - x ^ { 2 } \) an...

For the functions \( f ( x ) = 7 - x ^ { 2 } \) and \( g ( x ) = x ^ { 2 } + 6 x - 27 , \) find \( f + g , f - g \) , fg, and \( \frac { f } { g } \) . Determine the domain for each function. 

\(( f + g ) ( x ) = 6 x - 20 \) (Simplify your answer.) 

What is the domain of \( f + g ? \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 

A. The domain of \( f + g \) is_____ . 

(Use a comma to separate answers as needed.) 

B. The domain of \( f + g \) is______. 

(Type your answer in interval notation.) 

C. The domain of \( f + g \) is ____. 

Answer

B. \(- \infty < x< \infty\)

Solution
View full explanation on CameraMath App.