Answer:
D. 15
Step-by-step explanation:
<em>Use proportions.</em>
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If y = x+2 and x = -3 then we can say that y = -3+2 after replacing the 'x' with -3
From here, we just add -3 and 2 to get -1 which is why y = -3+2 turns into y = -1
So together x = -3 and y = -1
They pair up to form (x,y) = (-3,-1)
Let's first find out their factors.
90's factors are :

190's factors are :

The common factors of 90 and 190 are :
1,2,5 and 10.
The greatest one among these is, 10. So the greatest factor of 90 and 190 is 10.
So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:

So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that 
If we replace the factored numerator with the original one, we get:

Since we have an equality, this relation is proved.
Answer:
Step-by-step explanation:
diagram attached represents a function g(x).
Circle (1) (circle on the left) represents the set of domain (input values) and circle (2) represents the range (output values).
a). For input value x = 7, out put value of the function is y = 9.
Therefore, g(7) = 9 will be the answer.
b). Range of the function g(x) is the set of output values.
Range: {12, 9, 9, 17}
c). Inverse of the function g(x) will have,
Domain: {12, 9, 9, 17}
Range: {4, 7, 10, 15}
For input value of x = 9, there are two output values y = 7, 10.
Since, "a function can't have two output values for the same input value".
Therefore, inverse of the function g(x) will not represent a function.