The inputs are 1 and -1 when the output is 2.
Step-by-step explanation:
The given function is
f(x) = 10 x²
Then we set y = f (x)
y = 10 x²
By dividing each side by 10 we get
x² = y/10
Then we solve for x
x = ±[tex]\sqrt{y/2}[/tex]
Now we have to find the input(s) when the output is 10
x = ±[tex]\sqrt{10/10}[/tex]
x = ± 1
Hence, the inputs are 1 and -1 when the output is 2.
The final solution is x =1 and x = -1.
