Answer:
g(x) = (5x + 3)/ x - 7
Step-by-step explanation:
Let g(x) = y
y = (7x + 3)/x - 5
Make x the subject
xy - 5y = 7x + 3
xy - 7x = 5y + 3
x(y - 7) = 5y + 3
x = (5y + 3)/ y - 7
Therefore, the inverse of the function = (5x + 3)/ x - 7
Correct option is:
B. 2
<h2>
Explanation:</h2>
From the double number line shown we can set:

So we can solve this problem by using either equation (3) or (4). So, choosing equation (3):

<h2>Learn more:</h2>
Solving equations: brainly.com/question/7747308
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In the given question, there are several information's of immense importance. using these information's the correct and the required answer can be determined. It is given that an unknown number has to be found from the information's provided.
Let us assume the unknown number = x
Then
3x + 3 = 2x -1
3x - 2x = -1 -3
x = -4
So the unknown number is -4.
It should be remembered that these are trick questions and it is important to go through each lines very carefully to understand the inner meaning.
First, factor out the common factor 5.
<span>15y^2-50y+35 =
= 5(3y^2 - 10y + 7)
Now we need to factor the trinomial.
3 can be factored as 3 * 1
7 can be factored as 1 * 7 or (-1) * (-7)
Since the middle term is negative, we need to use -1 and -7 as the factors of 7
= 5(3y - 7)(y - 1)
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