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02-09-2021
Mathematics

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Which represents the inverse of the function f(x) = 4x?
•
O h(x) = x + 4
O h(x) = x-4
O h(x) = 3/4x
O h(x) = 1/4x

Respuesta :

03-09-2021

Answer:

[tex] {f}^{ - 1} (x) = \frac{1}{4} x[/tex] (last/fourth option)

Step-by-step explanation:

[tex]f(x) = 4x[/tex]

[tex]y = 4x[/tex]

[tex]x = 4y[/tex]

[tex]4y = x[/tex]

[tex] \boxed{\green{{f}^{ - 1} (x) = \frac{1}{4} x}}[/tex]

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