mirrahma
Answered

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What is the inverse of the function f(x)=1/4x-12?

a. h(x)=48x-4
b. h(x)=48x+4
c. h(x)=4x-48
d. h(x)=4x+48

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Sagot :

Tasyha

Answer:

d. h(x) = 4x + 48

Step-by-step explanation:

[tex]f(x) = \frac{1}{4} x - 12[/tex]

[tex]y = \frac{1}{4} x - 12[/tex]

[tex]x = \frac{1}{4} y - 12[/tex]

[tex] \frac{1}{4} y - 12 = x = 4( \frac{1}{4} y - 12) = 4x[/tex]

[tex]4 \times \frac{1}{4} y - 4 \times 12 = 4x[/tex]

[tex]y - 48 = 4x[/tex]

[tex]y = 4x + 48[/tex]

[tex]\boxed{\green{= h(x) = 4x + 48}}[/tex]

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