Answer:
first table shown x and second table shown y function.
The standard equation of a circle is expressed as
(x - h)^2 + (y - k)^2 = r^2
where
h is the x coordinate of the center of the circle
k is the y coordinate of the center of the circle
r is the radius of the circle(the distance from the center of the circle to the circumference
From the graph,
h = - 1
y = 4
r = 5
By substituting these values into the equation, we have
(x - - 1)^2 + (y - 4)^2 = 5^2
(x + 1)^2 + (y - 4)^2 = 25
Thus, the equation of the circle is
(x + 1)^2 + (y - 4)^2 = 25
(a) Using the table, give the values fo rthe inverse
1) original table of values:
x 1 2 3 4 5
f(x) 0 1 1 5 3
2) The inverse of the function is obtained by exchanging x and f(x), this is:
( x, f(x) ) → ( f(x), x)
3) So, the table of values of the inverse of the given function is:
x 0 1 1 5 3
f⁻¹ (x) 0 1 2 3 4
(b) Is the inverse a function?
No, the inverse is not a function, since the table of the inverse shows that the x -value 1 has two different images.
This ambigüity is opposite to the definition of a function, which requires that any input value has only one output. For that reason, the inverse is not a function. You cannot tell whether the image of 1 is 1 or 2, because both are images of the same value.
I think the best answer would be answer D
12 - 3x + 4 ( 10 - 2^3 )
12 - 3 ( 2/3 ) + 4 ( 10 - 2^3 )
12 - 2 + 4 ( 10 - 8 )
12 - 2 + 40 - 32
10 + 8
18
