Answer:
-7
Step-by-step explanation:
We first are going to flip the equation around.
So instead of 9 times x = -36 we'll do 36/9. 36/9 = -7.
Also you will kind of know it will be a negative number from the beginning since it's -36.
I don't know if that last part makes any sense, but I hope this helps you!
Answer:
The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)
Step-by-step explanation:
We have the following expression
Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.
Now we search that values of x make 0 the denominator factoring the polynomial 
We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.
These numbers are -2 and 1
Then the factors are:
We do the same with the numerator
We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.
These numbers are 3 and 1
Then the factors are:
Therefore
Note that 
only if 
So since 
is not included in the domain the function has a discontinuity in
Answer:
C. {-5,-4, -3, 1, 2, 5}
Step by step explanation:
We have been given a graph and we are asked to find the domain of the relation represented in graph.
We can see that our graph is a series of unconnected points. Our function represents integer values. So we can see that our graph represents a discrete function.
Since we know that domain of a discrete function is set of inputs values consisting of only certain values in an interval. .
The set of first value from each of the given points would made domain of our function. Upon looking at our graph we can see that domain of our function is -5,-4, -3, 1, 2 and 5.
Therefore, option C is the correct choice.
Answer:
10f-30g
Step-by-step explanation:
we have:
5(2f - 6g)
we apply distributive property:
5(2f - 6g)
5*2f+5*(-6g)
finally we have:
10f-30g
