SOLUTION: I need help on this homeowrk question. Thank you! FOr each of the following relations, sketch the graph of the relation and its inverse and write an eqation for the inverse. y=

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: I need help on this homeowrk question. Thank you! FOr each of the following relations, sketch the graph of the relation and its inverse and write an eqation for the inverse. y=      Log On

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Question 61664This question is from textbook
: I need help on this homeowrk question. Thank you!
FOr each of the following relations, sketch the graph of the relation and its inverse and write an eqation for the inverse.
y=x squared -2x-3
I can graph it using my calculator but i cant seem to figure out the inverse equationThis question is from textbook

Answer by stanbon(48569) About Me  (Show Source):
You can put this solution on YOUR website!
y=x^2-2x-3
Interchange x and y to get:
y^2-2y=x+3
Complete the square to get:
y^2-2y+1=x+4
(y-1)^2=x+4
y-1=sqrt(x+4) or y-1=-sqrt(x+4)
y=1+sqrt(x+4) or y=1-sqrt(x+4)
This is the inverse. It is expressed as
two functions because for each x-value
greater than or equal to -4 there are two
y values.
Cheers,
Stan H.