Respuesta :

mhanifa

Given function:

  • f(x) = 9x²

Let the inverse is y = f⁻¹(x).

Swap x and y in the given function and solve for y:

  • x = 9y²
  • y² = x/9
  • y = √(x/9)
  • y = √x / 3

The inverse of the given function is:

  • f⁻¹(x) = √x / 3
ItzTds

Answer:

f-¹(x) = √(x)/3

Step-by-step explanation:

Now we have to,

→ find the inverse of f(x)=9x²

Then the inverse function will be,

→ f(x) = 9x²

→ y = 9x²

→ 9y² = x

→ y² = x/9

→ y = √(x/9)

→ [ y = √(x)/3 ]

Hence, the inverse is √(x)/3.

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