Question

Find inverse of f(x) = x2 +5x+9

Answer 1

Step-by-step explanation:

1. f(x) = 0
2. substitute x=0 in x2 + 5x + 9
3. calculate the value that is (0)2+5(0)+9=0 ( 0 is not answer its taken because of f(x)=0
4. the answer is 0+0+9 =0,9=0 ( here 9 is not equal to 0)
5. so,it is not zero of the polynomial

Answer 2

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