(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.
Divide the total amount of money Janice has by the cost of the stamps.
$7.20 / $0.30 = 24
Janice can buy 24 stamps.
Answer:
∠ ABD = 42°
Step-by-step explanation:
∠ ODC = 90° ( angle between tangent and radius )
∠ ADC = 90° - 48° = 42°
The angle between a tangent and a chord is equal to the angle in the alternate segment, that is
∠ ABD = ∠ ADC = 42°