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Popular >

simplify f(f^{-1}(ln(x)))

Solution

simplify

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

Solution

ln (x)

Solution steps

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

Apply exponent rule:

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

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

= f^{1 - 1} ln (x)

Subtract the numbers:

1 - 1 = 0

= f^{0} ln (x)

Apply rule

a^{0} = 1, a \neq = 0

f^{0} = 1

= 1 \cdot ln (x)

Multiply:

1 \cdot ln (x) = ln (x)

= ln (x)

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Frequently Asked Questions (FAQ)

What is f(f^{-1}(ln(x))) ?
The solution to f(f^{-1}(ln(x))) is ln(x)