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alyssaanniebug
19.07.2019 •
Mathematics
Find the inverse of the following function. f(x) = 3squareroot x + 12
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Ответ:
Let f(x) = y
y = 3 · √x + 12
y - 12 = 3 · √x (Subtract 12 from both sides)
(y - 12)/3 = √x (Divide both sides by 3)
(y/3) - (12/3) = √x
(y/3) - 4 = √x
[(y/3) - 4]² = x (Square both sides)
Therefore, f⁻¹(y) = [(y/3) - 4]²
f⁻¹(x) = [(x/3) - 4]²
Ответ:
If you want to simplify, -11
-132x
Step-by-step explanation: