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Popular >

simplify f(x)*f^-1(x)

Solution

simplify

f (x) \cdot f^{-} 1 (x)

Solution

f^{1} x^{2}

Solution steps

f (x) f^{-} \cdot 1 \cdot (x)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

f f^{-} = f^{1 -}

= x f^{1 -} \cdot 1 \cdot x

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

xx = x^{1 + 1}

= f^{1 -} \cdot 1 \cdot x^{1 + 1}

Add the numbers:

1 + 1 = 2

= f^{1 -} \cdot 1 \cdot x^{2}

Multiply:

1 \cdot x^{2} = x^{2}

= x^{2} f^{1}

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Frequently Asked Questions (FAQ)

What is f(x)*f^-1(x) ?
The solution to f(x)*f^-1(x) is f^1x^2