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Mathematics
Martha Frost
28 November, 00:11
Find the inverse of the linear function y=1/2x+3.
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Ellison
28 November, 02:48
0
Interchange the variables:
x = 1/2y + 3
Solve for y:
Subtract 3 from each side:
x-3 = 1/2y
Multiply both sides by 2:
2x-6 = y
Rewrite the equation with y on the left side:
y = 2x-6
Replace y with f^-1 (x):
f^-1 (x) = 2x-6
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Ian May
28 November, 03:07
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2 (x-3) = y
Step-by-step explanation:
y = 1/2 x + 3
To find the inverse, exchange x and y and then solve for y
Exchange x and y
x = 1/2y + 3
Then solve for 3
Subtract 3 from each side
x-3 = 1/2 y - 3+3
x-3 = 1/2 y
Multiply each side by 2
2 (x-3) = 1/2 * 2 y
2 (x-3) = y
This is the inverse
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