Question

Help me Please
1. Find the inverse of f(x) = √(x2 - 3). Make sure to show your work.

2. Find the inverse of f(x) = 7x2 + 12. Make sure to show your work.

3. Explain how to determine if a given relation is a one to one function. You may use examples to help in your explanation.

Answer 1

@Squirrels

Answer 2

replace f(x) with y
switch x and y
solve for y

Answer 3

here \( f(x) = \sqrt{(x^2 - 3)}\)
\(y = \sqrt{(x^2 - 3)}\)
\(x = \sqrt{(y^2 - 3)}\)

what would our first step be?

Answer 4

so square each side to get rid of the square root

Answer 5

noice, noice
so now we have \(x^2 = y^2 - 3\)

Answer 6

yes

Answer 7

so, what would our next step be?

Answer 8

-3 each side?