answersLogoWhite

0


Best Answer

Graph that equation. If the graph pass the horizontal line test, it is an inverse equation (because the graph of an inverse function is just a symmetry graph with respect to the line y= x of a graph of a one-to-one function).

If it is given f(x) and g(x) as the inverse of f(x), check if g(f(x)) = x and f(g(x)) = x. If you show that g(f(x)) = x and f(g(x)) = x, then g(x) is the inverse of f(x).

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How can you tell if a equation is inverse?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Algebra

How do you find the inverse of the slope of the line?

Write the equation of the line in the standrad form: y = mx + c The slope of this line is m The inverse of the slope is then 1/m. Note, that for a line perpendicular to the first, you need the negative inverse, not just the inverse. And the negative inverse of m is -1/m.


How can you use inverse operations to solve an equation without algebra titles?

Without algebra tiles?


What is the inverse of the equation y equals 2x plus 3?

x=(y-3)/2


How do you solve an algebraic equation with a fraction in it?

the fraction means for you to divide but if you are doing inverse operation, you are multiplying.


How do you find the inverse of an equation?

Generally, to find the inverse of an equation, replace every x with y and replace every y (otherwise written f(x) ) with an x. Then it's "good form" to get the equation into y= form. For an equation involving only two variables, the inverse can be found by swapping the x and y variables. Then, solve for y. If the equation does not define y as a function of x, the function f does not have an inverse. In order to start talking about an inverse, be sure first, that the given equation defines y as a function of x. Not every graph in the rectangular system is the graph of a function. For example, if you have an equation: x^2/4 + y^2/9 = 1 it's wrong to say the inverse will be: y^2/4 + x^2/9 = 1. Both of the above equations are ellipses. The original equation is an ellipse with the major axis (the long axis) on the y-axis, while the other has the major axis on the x-axis. Both of them do not represent a function, because if you solve for y, you'll see that two values of y can be obtained for a given x. Please note that if you are talking about functions, then not every function has an inverse, as a function must be one-to-one in order to have an inverse. A function must pass the "horizontal line test", which states that the graph of a function must never intersect with a horizontal line more than once, anywhere on it's domain. Inverse functions have some special properties: 1) The graph of an inverse function is the reflection of the original function reflected across the line y = x. 2) A function and it's inverse cancel each other out through functional composition.

Related questions

What is a equation that is the inverse of the exponential equation?

Logarithmic equation


What is the inverse of the equation y equals 4x?

To find the inverse, replace y with x, and x with y. So, the inverse of the equation is: x = 4yWhich is equal to:y = x/4


Find the constant variation k for the inverse variation then write an equation for the inverse variation y 2.5 when x 9?

The equation is xy = 22.5


Is xy 7 inverse equation?

It is difficult to be certain. Limitations of the browser used by Answers.com means that we cannot see most symbols. Please resubmit your question spelling out the symbols as "plus", "minus", "equals". If the question is about xy = 7, then it is an equation of an inverse relationship. This is NOT the same as an inverse equation.


How do you find the additive inverse of a quadratic equation?

Change all the signs. Suppose you have the quadratic equation: y = ax2 + bx + c Its additive inverse is -ax2 - bx - c.


What is a inverse realtionship?

In an inverse relationship, one variable decreases while the other increases. As an equation, a basic inverse relationship looks like x = 1/y.


Why the multipicative inverse of zero does not exist?

To find the multiplicative inverse, you would have to solve the equation 0 times x = 1. Since any number times 0 is zero, this equation has no solution.


Which equation illustates the additive inverse property?

How about 3 + (-3) = 0


What is an example of inverse equation?

1/k something over 1


What is an equation that demonstrates the additive inverse property?

3 + (-3) = 0


What does inverse property in multiplication mean?

Some one please tell me what inverse property is!!


The equation y 8x is an example of inverse variation is this true?

No. This is not true. It is false. The equation is an example of direct variation.