Find inverse of f(x) = x2 +5x+9
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Answered by
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Step-by-step explanation:
- f(x) = 0
- substitute x=0 in x2 + 5x + 9
- calculate the value that is (0)2+5(0)+9=0 ( 0 is not answer its taken because of f(x)=0
- the answer is 0+0+9 =0,9=0 ( here 9 is not equal to 0)
- so,it is not zero of the polynomial
Answered by
1
Answer:
let y=F(x)
y=x^2+5x+9
To find inverse we have to write x in terms of y
y=x^2+2*5/2*x+9
basically finding a perfect square
Now add subtract (5/2)^2 or 25/4
so,
y=x^2+2*5/2*x+25/4-25/4+9
using (a+b)^2=a^2+b^2+2ab
y=(x+5/2)^2 +9-25/4
y-11/4=(x+5/2)^2
√y-11/4=x+5/2
Basically
x=√(y-11/4) -5/2
So your inverse is √(y-11/4) -5/2
Thanks
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