solve y=f(x) for x. then find the input(s)

Answered question

2022-05-19

solve y=f(x) for x. then find the input(s) when the output is 9.

 

y=(x-2)2 -1

Answer & Explanation

alenahelenash

alenahelenash

Expert2023-05-14Added 556 answers

To solve the equation y=f(x) for x, we need to isolate x on one side of the equation.
Given the equation y=(x2)21, we can start by adding 1 to both sides:
y+1=(x2)2
To eliminate the square, we can take the square root of both sides:
y+1=x2
Now, to find x, we can add 2 to both sides:
y+1+2=x
Therefore, the solution for x is:
x=y+1+2
To find the input(s) when the output is 9, we can substitute y=9 into the equation:
x=9+1+2
Simplifying further:
x=10+2
Hence, when the output is 9, the corresponding input(s) are x=10+2.

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