SOLUTION: hi can you please help me with this question 1.)equation of the inverse? f(x)=3x^2+5

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Question 1090248: hi can you please help me with this question
1.)equation of the inverse?
f(x)=3x^2+5
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
1.)equation of the inverse?
f%28x%29=3x%5E2%2B5
since f%28x%29=y, we have
y=3x%5E2%2B5 .......swap x and y
x=3y%5E2%2B5............solve for y
x-5=3y%5E2
%28x-5%29%2F3=y%5E2
y=sqrt%28%28x-5%29%2F3%29
y=± sqrt%28x+-+5%29%2Fsqrt%283%29
f%5E-1%28x%29=± sqrt%28x+-+5%29%2Fsqrt%283%29