SOLUTION: Consider f(x) = 2x + 3. Find the inverse of this function. Verbally, compare what f does to x (“multiply by 2, then add 3”) to what f-1 does to x.

Algebra ->  Expressions-with-variables -> SOLUTION: Consider f(x) = 2x + 3. Find the inverse of this function. Verbally, compare what f does to x (“multiply by 2, then add 3”) to what f-1 does to x.      Log On


   



Question 1135319: Consider f(x) = 2x + 3. Find the inverse of this function. Verbally, compare what f does to x (“multiply by 2, then add 3”) to what f-1 does to x.
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
y = 2x + 3
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solve for x
:
2x = (y - 3)
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x = (y - 3)/2
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interchange x's and y's
:
y = (x - 3)/2
:
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f^(-1) (x) = (x - 3)/2
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f inverse subtracts 3 from x and divides the result by 2
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