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I need help solving the first problem

I need help solving the first problem-example-1
User Vadym
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1 Answer

2 votes

Answer:

  • f(x), g(x)
  • 10, 0, UNDEFINED

Explanation:

You want to know which functions have 5 in their domain, and what the function value is at x=5.

  • f(x) = x² -3x
  • g(x) = (x -5)/x
  • h(x) = √(x -10)

Values

It is more convenient to do the second part first, as that tells you the answer to the first part:

f(5) = 5² -3·5 = 25 -15 = 10 . . . . 5 is in the domain

g(5) = (5 -5)/5 = 0/5 = 0 . . . . 5 is in the domain

h(5) = √(5 -10) = √(-5) . . . . UNDEFINED; 5 is not in the domain

User Darcelle
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