Question

If f Superscript negative 1 Baseline (x) = negative one-fifth x, what is f Superscript negative 1 Baseline (x) = one-fifth x?

Answer 1

Answer:

  a different inverse function

Step-by-step explanation:

If $f^{-1}(x)=-\frac{1}{5}x$ then $f^{-1}(x)=\frac{1}{5}x$ is a different inverse function.

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The second (inverse) function is the first reflected over the y-axis.

Answer 2

The inverse of a function is the direct opposite of the function.

$f^{-1}(x) = \frac 15$ is an inverse function.

The function is given as:

$f^{-1}(x) = \frac 15$

For a function f(x), its inverse is given as: $f^{-1}(x)$.

This means that the function $f^{-1}(x) = \frac 15$ represents an inverse function of f(x).

Where:

$f(\frac{1}{5}) = x$

Hence, $f^{-1}(x) = \frac 15$ is an inverse function.

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