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777dan777 [17]
3 years ago
7

Find the inverse of the following function.

Mathematics
1 answer:
Naddik [55]3 years ago
3 0

For this case we must find the inverse of the following function:

f (x) = 8 \sqrt {x}

For this, we follow the steps below:

We change f (x) to y:

y = 8 \sqrt {x}

We exchange the variables:

x = 8 \sqrt {y}

We solve for y:

8 \sqrt {y} = x

We divide between 8 on both sides of the equation:

\sqrt {y} = \frac {x} {8}

We raise both sides of the equation to the square to remove the root:

y = (\frac {x} {8}) ^ 2\\y = \frac {x ^ 2} {64}

So, the inverse is:f ^ {- 1} (x) = \frac {x ^ 2} {64}

ANswer:

Option C

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