f(x) = 4x + 4 g(x) = 3x +7
1) find (f+g)(x)
2) find (f-g) (x)
3) find (f/g) (x)
4) what the domain for the answer in question 3. use set builder notation or interval notation
5) find (f o g) (x)

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

answer: f true

step-by-step explanation: