Question

If g(x)is the inverse of f(x) and f (x) = 4 x + 12, what ig(x)
g (x) = 12 x + 4
g (x) = one-fourth x minus 12
g (x) = x minus 3
g (x) = one-fourth x minus 3

Answer 1

Answer:

The inverse of a given function

d) $g(x) = \frac{1}{4} x - 3$

Step-by-step explanation:

Explanation:-

Given that f(x) = 4x + 12

  let y = 4 x + 12

     4 x = y - 12

        $x = \frac{y-12}{4}$

        $x = \frac{1}{4} y - 3$      

we know that   y = f(x)

                   ⇒  x = f⁻¹(y)

      $(f^{-1} y) = \frac{1}{4} y - 3$

Put  replace 'y' in 'x'

    $(f^{-1} x) = \frac{1}{4} x - 3$

Final answer:-

The inverse of a given function

$g(x) = \frac{1}{4} x - 3$

Answer 2

Answer:

D

Step-by-step explanation:

Right on edge