What is the inverse of f(x)=8x+14/2x+6?

(x-6)/15

Your notation is a little ambiguous though, do you mean (14/2)x or 14/(2x)?

Step-by-step explanation:

A function has one output for every input in the domain. The inverse function of a function takes every pair of input-output and flips the roles. So, (assuming function is one-to-one) if f(3) = 2, f^-1(2) = 3.

Ok, so we can apply that here. If, when x is inputted to the function, f(x) is returned, then in the inverse function, when f(x) is inputted, x should be returned.

That means that we can switch f(x) with x in the equation and f(x) with f^-1(x) and solve for f^-1(x).

x = 8f^-1(x) + 7f^-1(x) + 6

x-6 = 15f^-1(x)

(x-6)/15 = f^-1(x)

you have 6 cupcakes

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)