# Write a relation that is not a function but whose inverse is a function

When we think of a function as a sequence, we usually write the argument as a subscript, e. Sequences also give us a way to define order tuples with more than two elements: This distinction has no practical effect and so we typically ignore it; the technical justification for this is that the three different representations are all isomorphic in the sense that a translation exists between each pair of them that preserves their structure.

However, not all these equations are functions. In math, a function is an equation with only one output for each input. In the case of a circle, one input can give you two outputs - one on each side of the circle.

Thus, the equation for a circle is not a function and you cannot write it in function form. Apply the vertical line test to determine if your equation is a function.

If you can move a vertical line along the x-axis and only intersect one y at a time, your equation is a function as it follows the only one output for each input rule. Solve your equation for y. Sciencing Video Vault Decide on a name for your function. Most functions use a one-letter name such as f, g or h.

Determine what variable your function depends upon.

## Odd Functions and Even Functions

The left side of your function is the name of your function followed by the dependent variable in parenthesis, f x for the example. Tip You write functions with the function name followed by the dependent variable, such as f xg x or even h t if the function is dependent upon time.

You read the function f x as "f of x" and h t as "h of t". Functions do not have to be linear. The equation is nonlinear because of the square of x, but it is still a function because there is only one answer for every x.

When evaluating a function for a specific value, you place the value in the parenthesis rather than the variable.

Warning Do not confuse function names with multiplication. Function f x is not variable f times variable x. Function f x is a function named f that depends upon x.Stated otherwise, a function, considered as a binary relation, has an inverse if and only if the converse relation is a function on the range Y, in which case the converse relation is the inverse function.

quadratic function does not have an inverse that is a function. Emphasize that a square root function is only the inverse of a quadratic function if the domain is restricted appropriately (to one side of the vertex); likewise, a quadratic function is not the inverse of a square root function unless the domain is appropriately restricted.

The inverse of relation t is not a function. C. Relation t is not a function.

## From the SparkNotes Blog

The inverse of relation t is a function. D. Relation t is a function. The inverse of relation t is a function. Let f(x) = 3x + 2 and g(x) = 7x + 6, Find f middot g and its domain.

Expert Answer. The result is then the inverse of the L2-Fourier transform. A limit of Riemann integrable functions that is not Riemann integrable We now turn our attention to the essential construction of the paper, that of a sequence in R1((0;1);C) that converges in L1((0;1);C) to a function that is not Riemann integrable.

of the second function. • Inverse relation – An equation that involves two or more variables. • One-to-one function – A function whose inverse is a function. Both must pass the vertical and horizontal line Algebra II Notes Inverse Functions Unit The inverse of the function f, denoted f 1, is a function whose ordered pairs are obtained from f by interchanging the x- and y-coordinates: f 1 (, 6), (, 7), (, 8).

Inverse function | Revolvy