Write as a Function of O O(n)=2n-1

$O (n) = 2 n - 1$

Step 1

Subtract $2 n$ from both sides of the equation.

$O n - 2 n = - 1$

Step 2

Factor $n$ out of $O n - 2 n$ .

Factor $n$ out of $O n$ .

$n O - 2 n = - 1$

Factor $n$ out of $- 2 n$ .

$n O + n \cdot - 2 = - 1$

Factor $n$ out of $n O + n \cdot - 2$ .

$n (O - 2) = - 1$

Step 3

Divide each term in $n (O - 2) = - 1$ by $O - 2$ and simplify.

Divide each term in $n (O - 2) = - 1$ by $O - 2$ .

$\frac{n (O - 2)}{O - 2} = \frac{- 1}{O - 2}$

Simplify the left side.

Cancel the common factor of $O - 2$ .

Cancel the common factor.

$\frac{n (O - 2)}{O - 2} = \frac{- 1}{O - 2}$

Divide $n$ by $1$ .

$n = \frac{- 1}{O - 2}$

Simplify the right side.

Move the negative in front of the fraction.

$n = - \frac{1}{O - 2}$

Step 4

To rewrite as a function of $O$ , write the equation so that $n$ is by itself on one side of the equal sign and an expression involving only $O$ is on the other side.

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

Write as a Function of O O(n)=2n-1

Related Questions

Support LCMGCF.com by disabling your adblocker.