How would you find the inverse of this function?

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How would you find the inverse of this function?

L(x) = 3x + 4

2007-07-17 17:29:23 · 3 answers · asked by *05* 1 in Science & Mathematics ➔ Mathematics

3 answers

y = 3x + 4 --------> L(x) = same as y
x = 3y + 4 --------> switch x & y
x - 4 = 3y --------> solve for y.
(x - 4)/3 = y

L-1(x) = (x - 4)/3 ----------> "inverse function"

2007-07-17 17:33:36 · answer #1 · answered by Reese 4 · 0⤊ 0⤋

Find the inverse of y = 3x + 4.

To find the inverse switch x and y and solve for y.

x = 3y + 4

3y = x - 4
y = (x - 4)/3

L^(-1) (x) = (x - 4)/3

2007-07-18 00:34:01 · answer #2 · answered by Northstar 7 · 0⤊ 0⤋

y=L(x)=3x+4

interchange x & y
x=3y+4

solve for y
3y=x-4
y=(x-4)/3

inverse of L(x) = (x-4)/3

2007-07-18 00:52:04 · answer #3 · answered by Jain 4 · 0⤊ 0⤋