Question

precal help needed: see attachment!

Answer 1

@Will.H

Answer 2

Okay, do you know the first step in finding the inverse of a function?

Answer 3

Your function:
\[f(x)=-4\sqrt{x}-1\]

Answer 4

The first step in finding the inverse of a function is to put X in Y's place and put Y in X's place. f(x) and y are the same thing.
\[f(x) = y\]
Swap the two variables...
\[x=-4\sqrt{y}-1\]

Answer 5

And solve for Y

Answer 6

\[x+1=-4 \sqrt{y}\]
\[\frac{ x+1 }{ -4 }=\sqrt{y}\]
Now we need to square both sides to get rid of the radical.
\[(\frac{ x+1 }{ 4 })^2 = y\]

Answer 7

\[y=\frac{ (x+1)^2 }{ 16 }\]

Answer 8

^^ That is the inverse of your function.

Answer 9

so the third choice?

Answer 10

the last choice also has the same inverse but has \[x \le-1\] at the end

Answer 11

@Will.H

Answer 12

@Will.H

Answer 13

Yes your right it is the third choice
X is the domain and it can be all real numbers bigger than or less than or equal to -1

Answer 14

@CloverRacer Sorry! I didn't see the second part of answer choices.