Question

HHHEEEEEELLLPPPP INVERSE FUNCTIONS

Answer 1

\[f(x)= -2(x+1)^2-4\]

Answer 2

To find the inverse function we first switch x and y and then solve for y.

Answer 3

same as you'd a linear one
do the variable "switcharoo" and solve for "y"

Answer 4

^^ ditto

Answer 5

naaaaaaaa id rather not

Answer 6

\[x= -2(y+1)^2-4\]

Answer 7

yes

Answer 8

i dont know what to do after that. Do i solve for y?

Answer 9

yes.

Answer 10

well... do you know how to simplify linear equations? is the same thing

Answer 11

say how would you simplify or solve for "a"

b = -2a -4 ?

Answer 12

wouldnt you add 4\[x+4 = -2(x+1)^2\]

Answer 13

well... yes... "y" on the right-side of course... so
\(\bf f(x)=y= -2(x+1)^2-4\qquad inverse\implies x=-2(y+1)^2-4\impliedby f^{-1}
\\ \quad \\
x+4=-2(y+1)^2\implies \cfrac{x+4}{-2}=(y+1)^2\quad \textit{ taking }\sqrt{\qquad }
\\ \quad \\
\sqrt{\cfrac{x+4}{-2}}=\sqrt{(y+1)^2}\implies \sqrt{\cfrac{x+4}{-2}}=(y+1)\implies ?\)

Answer 14

\[\sqrt{(\frac{ x+4 }{ -2 })} -1\]
would it be that?

Answer 15

@jdoe0001

Answer 16

yes

Answer 17

is that the answer?

Answer 18

yeap that's the "inverse relation"
mind you that is NOT a function.... but an inverse relationship expression

Answer 19

alright, thank you. Could you help me with one more please?

Answer 20

sure just post anew, thus if I dunno, someone else may know, and we revise each other