Part 1)
Part 2)
Part 3)
Part 4) In interval notation the domain is (-∞,-7/3) ∪ (-7/3,∞)
Part 5)
Step-by-step explanation:
we have
Part 1) Find (f+g)(x)
we know that
substitute the given functions
Combine like terms
Part 2) Find (f-g)(x)
we know that
substitute the given functions
Combine like terms
Part 3) Find (f/g)(x)
we know that
substitute the given functions
Part 4) What the domain for the answer in question 3
we have
we know that
The denominator of the quotient cannot be equal to zero
so
The domain is all real numbers except the number x=-7/3
In interval notation the domain is (-∞,-7/3) ∪ (-7/3,∞)
Part 5) Find (f o g) (x)
we know that
substitute
therefore