[Answer] What is the inverse of the function f(x) = 2x - 10?

Answer: h(x) = x + 5

Most relevant text from all around the web:

What is the inverse of the function f(x) = 2x - 10? Single-variable calculus is primarily concerned with functions that map real numbers to real numbers. Such functions are often defined through formulas such as: ${\displaystyle f(x)=(2x+8)^{3}.}$ A surjective function f from the real numbers to the real numbers possesses an inverse as long as it is one-to-one. That is the graph of y = f(x) has for each possible y value only one corresponding x value and thus passes the horizontal line test. Single-variable calculus is primarily concerned with functions that map real numbers to real numbers. Such functions are often defined through formulas such as: ${\displaystyle f(x)=(2x+8)^{3}.}$ A surjective function f from the real numbers to the real numbers possesses an inverse as long as it is one-to-one. That is the graph of y = f(x) has for each possible y value only one corresponding x value and thus passes the horizontal line test. The following table shows several standard functions and their inverses: Function f(x) Inverse f (y) Notes x + a y − a a − x a − y mx y/m m ≠ 0 1/x (i.e. x ) 1/y (i.e. y ) x y ≠ 0 x √y (i.e. y ) x y ≥ 0 only x √y (i.e. y ) no restriction on x and y x √y (i.e. y ) x y ≥ 0 if p is even; integer p > 0 2 lb y y > 0 e ln y y > 0 10 log y y > 0 a loga y y > 0 and a > 0 trigonometric functions inverse trigonometric functions various restrictions (see table below) hyperbolic functions inverse hyperbolic functions various restrictions One approach to finding a formula for f if it exists is to solve the equation y = f(x) for x. For example if f is the function ${\displaystyle f(x)=(2x+8)^{3}}$ then we must solve the equation y = (2x + 8) for x: ${\displaystyle {\begin{aligned}y&=(2x+8)^{3}\\{\sqrt[{3}]{y}}&=2x+8\\{\sqrt[{3}]{y}}-8&=2x\\{\dfrac {{\sqrt[{3}]{y}}-8}{2}}&=x.\end{aligned}}}$ Thus the inverse function f is given by the formula ${\displaystyle f^{-1}(y)={\frac {{\sqrt[{3}]{y}}-8}{2}}.}$ For functions of more than one variable the theorem states that if F is a continuously differentiable function from an open set of into and the total derivative is invertible at a point p (i.e. the Jacobian determinant of F at p is non-zero) then F is invertible near p: an inverse function to F is defined on some neighborhood of = (). In mathematics the converse relation or transpose of a binary relation is the relation that occurs when the order of the elements is switched in the relation. For example the converse of the relation 'child of' is the relation 'parent of'. In formal terms if X and Y are sets and L ⊆ X × Y is a relation from X to Y then L T is the rela...

Disclaimer: 

Our tool is still learning and trying its best to find the correct answer to your question. Now its your turn, "The more we share The more we have". Comment any other details to improve the description, we will update answer while you visit us next time...Kindly check our comments section, Sometimes our tool may wrong but not our users.

Are We Wrong To Think We're Right? Then Give Right Answer Below As Comment