Algebra Examples

$f (2) = - 2$ , $f (1) = 1$

Step 1

Divide each term in $f (2) = - 2$ by $2$ and simplify.

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Step 1.1

Divide each term in $f (2) = - 2$ by $2$ .

$\frac{f \cdot 2}{2} = \frac{- 2}{2}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $2$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{f \cdot 2}{2} = \frac{- 2}{2}$

Step 1.2.1.2

Divide $f$ by $1$ .

$f = \frac{- 2}{2}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $- 2$ by $2$ .

$f = - 1$

Step 2

Replace all occurrences of $f$ with $- 1$ in each equation.

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Step 2.1

Replace all occurrences of $f$ in $f (1) = 1$ with $- 1$ .

$(- 1) (1) = 1$

$f = - 1$

Step 2.2

Simplify the left side.

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Step 2.2.1

Multiply $- 1$ by $1$ .

$- 1 = 1$

$f = - 1$

$- 1 = 1$

$f = - 1$

$- 1 = 1$

$f = - 1$

Step 3

Since $- 1 = 1$ is not true, there is no solution.

No solution