Answer:
C
Step-by-step explanation:
Answer:
The value of k is -2
Step-by-step explanation:
The cut point with the y axis for both graphs occurs when x = 0
We then have:
For f (x):
The cut point for the y axis is:
For g (x):
The cut point with the y axis is:
The value of k is given by the vertical displacement of graph k units.
We then have:
Let's clear k:
I know that this is not the answer you are looking for but maybe you can use the step-by-step explanation to figure it out
22.5/(x-6) + 22.5/(x+6) = 9
multiply by x-6
=> (x-6)22.5/(x-6) + (x-6)22.5/(x+6) = 9(x-6)
=> 22.5 + (x-6)22.5/(x+6) = 9(x-6)
multiply by x+6
=> (x+6)22.5 + (x+6)(x-6)22.5/(x+6) = 9(x-6)(x+6)
=> (x+6)22.5 + (x-6)22.5 = 9(x-6)(x+6)
distribute
=> 22.5x+6(22.5) + 22.5x - 6(22.5) = 9(x^2 - 36)
=> 45x = 9x^2 - 9(36)
=> 0 = 9x^2 - 45x - 9(36)
divide by 9
=> 0 = x^2 - 5x - 36
=> 0 = x^2 - 5x - 36
=> 0 = (x - 9)(x + 4)
x=9 and -4
Answer:
domain = ( 3, 11, 121, 34, 23)
range = ( 21, 34, 1, 23)