Solve f(x) = x + 100/x - 5 | 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

$$f(x)=x+\frac{100}{x}-5$$

Evaluate

$x-5+\frac{100}{x}$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $x-5$ times $\frac{x}{x}$.

$$\frac{\left(x-5\right)x}{x}+\frac{100}{x}$$

Since $\frac{\left(x-5\right)x}{x}$ and $\frac{100}{x}$ have the same denominator, add them by adding their numerators.

$$\frac{\left(x-5\right)x+100}{x}$$

Do the multiplications in $\left(x-5\right)x+100$.

$$\frac{x^{2}-5x+100}{x}$$

Factor

$\frac{x^{2}-5x+100}{x}$