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Lelechka [254]
2 years ago
11

If g(x)is the inverse of f(x) and f (x) = 4 x + 12, what ig(x)

Mathematics
2 answers:
tatuchka [14]2 years ago
5 0

Answer:

D

Step-by-step explanation:

Right on edge

Fynjy0 [20]2 years ago
3 0

Answer:

The inverse of a given function

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

Step-by-step explanation:

<u><em>Explanation:-</em></u>

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

<u><em>Final answer</em></u><em>:-</em>

The inverse of a given function

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

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