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11 votes
11 votes
Which function is the inverse of function of f if the domain of f is x > 0?
f(x) = x^2 + 6

User Michael Kolber
by
2.9k points

1 Answer

7 votes
7 votes

Answer:

f⁻¹(x) = ± √x-6

Explanation:

f(x) = x² + 6

y = x² + 6

x = y² + 6 ... replace x and y

solve y: y² = x - 6

y (f⁻¹(x)) = ± √x-6

User GRosenberg
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2.7k points