Question

Which function is the inverse of f

Answer 1

Option C

Explanation:

Given function is,

f(x) = 9x² - 12

Steps to find the inverse of the given function,

Step 1,

Write the function in the form of an equation,

y = 9x² - 12

Step 2,

Interchange variables 'x' and 'y' in the equation,

x = 9y² - 12

Step 3,

Solve this equation for 'y',

x = 9y² - 12

9y² = x + 12

`y^2=(1)/(9)(x + 12)`

`y=\pm\sqrt{(1)/(9)(x + 12)}`

`y=\pm(√((x+12)))/(3)` Here, x > -12

Step 4,

Covert this equation into function,

`g(x)=\pm(√((x+12)))/(3)`

Therefore, Option C will be the answer.