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5 votes
Find the inverse of the following function: f(x) = 5/ square root of x, for x > 0

User Phiggy
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2 Answers

4 votes

Answer:

f-1=25/x^2, for x>0

Explanation:

User Dimon Buzz
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5.9k points
4 votes
The inverse is y = (5/y)^2

You can get this by switching the x and y values and then solving for your new y.

x = 5/sqrt(y) ----> Multiply both sides by sqrt(y)
sqrt(y)*x = 5 ---> divide both sides by x
sqrt(y) = 5/x ---> square both sides
y = (5/x)^2
User Andrew Mortimer
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6.1k points