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Given f(x) = the quantity of 3x minus 1, divided by 2, solve for f−1(4)

User Pervy Sage
by
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1 Answer

5 votes

Answer:

Explanation:

Given f(x) = (3x-1)/2

To get f^-1(4), we need to get the inverse of the function first.

Let y = (3x-1)/2

Replace y with x

x = (3y-1)/2

Make y the subject of the formula

2x = 3y-1

3y = 2x+1

y = (2x+1)/3

f^-1(x) = (2x+1)/3

Substitute x = 4 into the resulting expression

f^-1(4) = (2(4)+1)/3

f^-1(4) = (8+1)/3

f^-1(4) = 9/3

f^-1(4) = 3

User Meko
by
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