Identify the inverse g(x) of the given relation f(x). f(x) = {(8, 3), (4, 1), (0, –1), (–4, –3)} a. g(x) = {(–4, –3), (0, –1), (4, 1), (8, 3)} b. g(x) = {(–8, –3), (–4, 1), (0, 1), (4, 3)} c. g(x) = {(8, –3), (4, –1), (0, 1), (–4, 3)} d. g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}

The correct option is 4.

Step-by-step explanation:

The given relation is

We need to find the inverse g(x) of the given relation f(x).

If a relation is defined as

then inverse of the relation is defined as

The inverse of given relation is g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}.

Therefore the correct option is 4.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi