Solve f(x) = (x(x - 2))/(x - 1) at x = 2 | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$f ( x ) = \frac { x ( x - 2 ) } { x - 1 } , x = 2$$

Solve for f, x

$x=2$
$f=0$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$f\times 2=\frac{2\left(2-2\right)}{2-1}$$

Subtract $2$ from $2$ to get $0$.

$$f\times 2=\frac{2\times 0}{2-1}$$

Multiply $2$ and $0$ to get $0$.

$$f\times 2=\frac{0}{2-1}$$

Subtract $1$ from $2$ to get $1$.

$$f\times 2=\frac{0}{1}$$

Anything divided by one gives itself.

$$f\times 2=0$$

Divide both sides by $2$. Zero divided by any non-zero number gives zero.

$$f=0$$

The system is now solved.

$$f=0$$ $$x=2$$