Find the inverse of the following function:
g(x)=1/x -2

I already know the answer is 1/x+2
I just need help on how to get to that answer
PLEASE SHOW WORK

1/x+2

Step-by-step explanation:

To find the inverse of the function, try switching the x value with the y value or function value

something like: x=1/g(x)-2

then, just manipulate the equation so that g(x) is by itself again, but this time, since it is an inverse, it's denoted as g-1(x)

x=1/g-1(x)-2

x+2=1/g-1(x)

(g-1(x))(x+2)=1

g-1(x)=1/(x+2)

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

answer: the common difference is -0.10