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Verizon [17]
4 years ago
7

Find the inverse function of g(x) = 2x+4.

Mathematics
1 answer:
Eddi Din [679]4 years ago
3 0

Answer:

g^{-1} (x)  = x/2 - 2

Step-by-step explanation:

given:

g(x) = 2x+4

let y = g(x)

y = 2x+4   (rearrange to express x in terms of y, subtract 4 from both sides)

y - 4 = 2x  (divide both sides by 2)

y/2 -2 = x (rearrange)

x = y/2 - 2

to find inverse, switch x and y

y = x/2 - 2

hence

g^{-1} (x) = y = x/2 - 2

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