Answer: x>-4
Step-by-step explanation:
Answer:
intersection is (1,5)
Step-by-step explanation:
plug one equations into the other
y=2x+3
3x+y=8
3x+2x+3=8
simplify
5x+3=8
subtract 3
5x=5
x=1
plug x into one equation
y=2+3=5
intersection is (1,5)

2/3 will not be included in the domain of g/f
Step-by-step explanation:
Given functions are:

We have to calculate (f/g)(x) first
The steps will be as follows:

Putting the values of functions

Domain of g/f:

The function will be undefined if the denominator is zero.
To find the domain we will put the denominator equal to zero
So,

Hence, the function will be undefined on x=2/3 so 2/3 will not be included in the domain of (f/g)(x)
<u>Answer:</u>

2/3 will not be included in the domain of g/f
Keywords: Domain, Operations on Functions
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In my opinion I think it's the third one