What is the inverse of the function below? f(x) = 5x - 2 a. f -1(x) = x - 2/ 5 b. f -1(x) = x + 2 / 5 c. f -1(x) = -2 + 5x d. f -1(x) = -5x + 2

B. f -1(x) = x + 2 / 5

Step-by-step explanation:

To find the inverse of a function we need to interchange x and y an solve for y.

Since , then

Add 2 to both sides

Divide both sides by 5

We can conclude that the correct answer is B. f -1(x) = x + 2 / 5

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

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)