How do you calculate the inverse of a function?

To calculate the inverse of a function, swap the x and y variables then solve for y in terms of x.

What are the 3 methods for finding the inverse of a function?

There are 3 methods for finding the inverse of a function: algebraic method, graphical method, and numerical method.

What is the inverse of a function?

The inverse of a function f is a function f^(-1) such that, for all x in the domain of f, f^(-1)(f(x)) = x. Similarly, for all y in the domain of f^(-1), f(f^(-1)(y)) = y

Can you always find the inverse of a function?

Not every function has an inverse. A function can only have an inverse if it is one-to-one so that no two elements in the domain are matched to the same element in the range. A non-one-to-one function is not invertible.

Solutions > Functions Inverse Calculator >

Functions Inverse Calculator

Topic

Full pad

x^2	x^{\msquare}	\log_{\msquare}	\sqrt{\square}	\nthroot[\msquare]{\square}	\le	\ge	\frac{\msquare}{\msquare}	\cdot	\div	x^{\circ}	\pi
\left(\square\right)^{'}	\frac{d}{dx}	\frac{\partial}{\partial x}	\int	\int_{\msquare}^{\msquare}	\lim	\sum	\infty	\theta	(f\:\circ\:g)	f(x)

\mathrm{domain} \mathrm{range} \mathrm{inverse} \mathrm{extreme\:points} \mathrm{asymptotes}

See All

area

asymptotes

critical points

derivative

domain

eigenvalues

eigenvectors

expand

extreme points

factor

implicit derivative

inflection points

intercepts

inverse

laplace

inverse laplace

partial fractions

range

slope

simplify

solve for

tangent

taylor

vertex

geometric test

alternating test

telescoping test

pseries test

root test

Steps Examples

Generated by AI

Show Steps

Hide Steps

Functions Inverse Examples

Frequently Asked Questions (FAQ)

How do you calculate the inverse of a function?
To calculate the inverse of a function, swap the x and y variables then solve for y in terms of x.
What are the 3 methods for finding the inverse of a function?
There are 3 methods for finding the inverse of a function: algebraic method, graphical method, and numerical method.
What is the inverse of a function?
The inverse of a function f is a function f^(-1) such that, for all x in the domain of f, f^(-1)(f(x)) = x. Similarly, for all y in the domain of f^(-1), f(f^(-1)(y)) = y
Can you always find the inverse of a function?
Not every function has an inverse. A function can only have an inverse if it is one-to-one so that no two elements in the domain are matched to the same element in the range. A non-one-to-one function is not invertible.

Why users love our Functions Inverse Calculator

🌐 Languages	EN, ES, PT & more
🏆 Practice	Improve your math skills
😍 Step by step	In depth solution steps
⭐️ Rating	4.6 based on 20924 reviews

Chat with Symbo

Cooking Calculators

Cooking Measurement Converter Cooking Ingredient Converter Cake Pan Converter More calculators

Fitness Calculators

BMI Calculator Calorie Calculator BMR Calculator More calculators

Notebook

View Full Notebook

- \twostack{▭}{▭}	\lt	7	8	9	\div	AC
+ \twostack{▭}{▭}	\gt	4	5	6	\times	\square\frac{\square}{\square}
\times \twostack{▭}{▭}	\left(	1	2	3	-	x
▭\:\longdivision{▭}	\right)	.	0	=	+	y

Functions Inverse Calculator

Number Line