SOLUTION: If f(x)=x^2+3x-5 and g(x)=2x-3 Determine each a) x when f(x)=g(x) b) g^-1(-5) Thank you

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Question 937562: If f(x)=x^2+3x-5 and g(x)=2x-3
Determine each
a) x when f(x)=g(x)
b) g^-1(-5)
Thank you
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=x^2+3x-5 and g(x)=2x-3
.....
a) x^2+3x-5 = 2x-3
x^2 + x - 2 = 0
(x+2)(x-1)= 0
x = -2, 1
.....
g(x)=2x-3 0r y = 2x-3
y = 2x-3 Inverse (exchanging x and y)
x = 2y-3
(x+3)/2 = y
.......
g^-1(-5) = (-5+3)/2 = -1