Question

Solve y = f(x) for x. Then find the input(s) when the output is 10.

Answer 1

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 = ±$\sqrt{y/2}$

Now we have to find the input(s) when the output is 10

  x = ±$\sqrt{10/10}$

  x = ± 1

Hence, the inputs are 1 and -1 when the output is 2.

The final solution is x =1 and x = -1.