Question

I need serious help on this!
What is the inverse of the given function?
y = 7x^2 - 3.

Answer 1

isnt inverse when you switch the x and y

Answer 2

To find the inverse:

Replace f(x) with y
Switch x's and y's, so put x where y is and x where y is.
Solve for y
Replace y with f^-1(x)

Answer 3

x = 7y^2 - 3

Answer 4

\[7y^2 = x + 3 \]
\[y^2 = \frac{x+3}{7} => \]

Answer 5

\[\sqrt{(1/7)y+(3/7)},-\sqrt{(1/7)y+(3/7)}\]

Answer 6

I was thinking like wouldn't it be:
\[x=\pm \sqrt{\frac{ x+3 }{ 7 }}\]

Answer 7

bingo! but should be y =....

Answer 8

So i'm correct. Right?

Answer 9

ya

Answer 10

Thanx guys!!:D I appreciate your help:D I hate doing these. They seriously give me a hard time.