In reference to the function: g(x)=x^2 +2x−6 (−1 ≤ x ≤ 3) Show that the inverse function g−1 has the rule g-1 (x) = √(x + 7) - 1 justifying each step clearly and also giving its domain and image set.
In reference to the function: g(x)=x^2 +2x−6 (−1 ≤ x ≤ 3) Show that the inverse function g−1 has the rule g-1 (x) = √(x + 7) - 1 justifying each step clearly and also giving its domain and image set.
Chapter3: Functions
Section3.7: Inverse Functions
Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
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In reference to the function:
g(x)=x^2 +2x−6 (−1 ≤ x ≤ 3)
Show that the inverse function g−1 has the rule
g-1 (x) = √(x + 7) - 1
justifying each step clearly and also giving its domain and image set.
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