1 Answer

Mali Remorker · Answer 1 · 2020-10-13T15:48:41+0000

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

f (x) = x ^ 2-1

For them we follow the steps:

We change f (x) to y:

y = x ^ 2-1

We exchange variables:

x = y ^ 2-1

We solve for "y":

y ^ 2-1 = x

We add 1 to both sides of the equation:

y ^ 2 = x + 1

We apply square root to eliminate the exponent:

$y = \pm \sqrt {x + 1}$

We change y by
$f ^ {- 1} (x)$ :

$f ^ {- 1} (x) =\pm \sqrt {x + 1}$

Answer:

Option D

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