What is f^{-1}(-9)(x+1)/(x+7) ?

The solution to f^{-1}(-9)(x+1)/(x+7) is -(9(x+1))/(f(x+7))

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simplify f^{-1}(-9)(x+1)/(x+7)

simplify

f^{- 1} (- 9) \frac{x + 1}{x + 7}

- \frac{9 ( x + 1 )}{f ( x + 7 )}

Solution steps

f^{- 1} (- 9) \frac{x + 1}{x + 7}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

f^{- 1} = \frac{1}{f}

= \frac{1}{f} (- 9) \frac{x + 1}{x + 7}

Apply rule:

a (- b) = - ab

\frac{1}{f} (- 9) = - \frac{1}{f} \cdot 9

= - \frac{1}{f} \cdot 9 \cdot \frac{x + 1}{x + 7}

Apply the fraction rule:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= - \frac{1 \cdot 9 ( x + 1 )}{f ( x + 7 )}

Multiply the numbers:

1 \cdot 9 = 9

= - \frac{9 ( x + 1 )}{f ( x + 7 )}

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What is f^{-1}(-9)(x+1)/(x+7) ?
The solution to f^{-1}(-9)(x+1)/(x+7) is -(9(x+1))/(f(x+7))