Algebra Examples

$f (f^{- 1} (x))$

Step 1

Multiply $f$ by $f^{- 1}$ by adding the exponents.

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Step 1.1

Move $f^{- 1}$ .

$f^{- 1} f x$

Step 1.2

Multiply $f^{- 1}$ by $f$ .

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Step 1.2.1

Raise $f$ to the power of $1$ .

$f^{- 1} f^{1} x$

Step 1.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$f^{- 1 + 1} x$

Step 1.3

Add $- 1$ and $1$ .

$f^{0} x$

Step 2

Simplify $f^{0} x$ .

$x$