chlo9679
Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

10 points!!

Find the inverse of f(x) = √x-1

10 Points Find The Inverse Of Fx X1 class=

Sagot :

JR253
f
−
1
(
x
)
=
x
2
+
1
f
-
1
(
x
)
=
x
2
+
1
GeorgePP

Answer:

Step-by-step explanation:

For a function to have an inverse, it has to pass the horizontal and vertical line test, yes both of them. This function does, so we can continue. The first step for finding an inverse is replacing f(x) with y. Then switch the places of x and y.

[tex]x=\sqrt{y-1}[/tex]

Now the next step is to solve for this new y value, which is equivalent to f^-1(x). Square both sides to get rid of the radical.

[tex]x^2=y-1[/tex]

Add 1 to both sides and that is your inverse function

[tex]y=x^2+1[/tex]

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.