Answer:

Step-by-step explanation:
The given logarithmic function is

Let y=f(x)
This gives us:

We interchange x and y to get:



Therefore the inverse is

Based on the possible answers, B is most closed to the inverse.
The correct answer is B
Since it is a negative number, it does not have a factor. factors of a number can only be positive.
The parent function is given by 
and the transformation function is given by 
We can see that, 6 has been added to the function f(x) to get the function g(x).
We know that when we add some constant 'c' in the function then the function gets shifted upward by 'c' units.
Therefore, we will get g(x), when we will shift f(x) upward by 6 units.
Both functions are linear function hence, the asymptote of g(x) is the asymptote of f(x) shifted six units up.
D is the correct option.
Answer:
The value of y is 4
The equation of line is y = x + 7 .
Step-by-step explanation:
Given as :
The points are
(
,
) = (- 3, y)
(
,
) = (- 9, -2)
The slope = m = 1
Now,<u> The slope is calculated in points form</u>
So, Slope = 
I.e m = 
or, 1 = 
or, 1 = 
or, 1 × (-6) = - 2 - y
or, - 6 = - 2- y
or, y = - 2 + 6
∴ y = 4
So, The new points as
(
,
) = (- 3, 4 )
(
,
) = (- 9, -2)
<u>So, the equation of line in slope - point form can be written as</u>
y -
= m ( x -
)
i.e y - 4 = ( 1 ) × ( x - (-3) )
or, y - 4 = x + 3
∴ y = x + 3 + 4
Or, y = x + 7
So, The equation of line is y = x + 7
Hence The value of y is 4
And The equation of line is y = x + 7 . Answer