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HELP ASAP. Find the inverse of g(x)=1/3x-7 and find its domain and range

HELP ASAP. Find the inverse of g(x)=1/3x-7 and find its domain and range
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HELP ASAP.

Find the inverse of g(x)=1/3x-7 and find its domain and range

User Anum Sheraz
by
8.4k points

1 Answer

4 votes
Find the inverse function of f.
f(x)=(1+3x)/(5-2x)
Interchange x and y to get:
x=(1+3y)/(5-2y)
Solve for y as follows:
5x-2xy=1+3y

3y+2xy=5x-1
y(3+2x)=5x-1
y=(5x-1)/(2x+3)

this is the inverse function
User Yeri
by
7.2k points
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