Asked by Juniper
g(x)= x^2+7
Find the inverse of g(x) and state the domain and range for the inverse of g(x) using interval notation
Find the inverse of g(x) and state the domain and range for the inverse of g(x) using interval notation
Answers
Answered by
Steve
g(x) has two branches, so
g^-1(x) = ±√(x-7)
in either case, the domain is all x such that x-7 >= 0
just as the range of g(x) is [7,∞)
g^-1(x) = ±√(x-7)
in either case, the domain is all x such that x-7 >= 0
just as the range of g(x) is [7,∞)
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