Meehan98
  • Meehan98
Okay, need some help, please!! Identify the inverse of f(x) = −1 + x^3. Determine whether it is a function and state its domain and range. The answer will be posted below..
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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Meehan98
  • Meehan98
\[\sqrt[3]{x+1}\] is the inverse and it's a function with domain and rang being all real numbers.
Meehan98
  • Meehan98
I did the horizontal line test to the original function, which was instructed, and found that it was not a function, but after doing it algebraically, it is a function. Can someone tell me what I did wrong?
IrishBoy123
  • IrishBoy123
|dw:1441900050111:dw| do your tests on these?

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IrishBoy123
  • IrishBoy123
|dw:1441900102084:dw|
Meehan98
  • Meehan98
Okay, based on the graph, they're both functions because they pass the horizontal line test.
Meehan98
  • Meehan98
The inverse of f(x)=x^2-4 is +- \[\sqrt{x+4}\] If you graph both of those, one of them is a function while the inverse is a function.

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