Part 2. show your work to prove that the inverse of f (x) is g (x). part 3. show your work to evaluate g (f (x)). this is what i have so farart 1: f (x) = x 3/5 g (x) = 5x-3

Question

Mathematics

Barclay

23 July, 07:34

Part 2. show your work to prove that the inverse of f (x) is g (x). part 3. show your work to evaluate g (f (x)). this is what i have so farart 1: f (x) = x 3/5 g (x) = 5x-3

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Answers (1)

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Shania Ruiz · Answer 1

Hello,

f (x) = (x+3) / 5

y = (x+3) / 5 = = >x = (y+3) / 5==>5x=y+3==>y=5x-3

g (x) = 5x-3

since g (x) = f^ (-1) (x), g (f (x)) = x

Indeed:

g (f (x)) = g ((x+3) / 5) = 5[ (x+3) / 5}-3=x+3-3=x