Math

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The following function f is one-to-one; find its domain and range.

f(x) = 5 / x+3

Domain = x cannot be -3
Range= I do not know how to find this.

  • Math -

    consider it as
    y = 5/(x+3)

    Can you replace any number for y ?
    let's try y = 8
    8 = 5/(x+3)
    8x + 24 = 5
    etc.
    notice we could put any number for y and we would get a solution for x, or ....
    what about y = 0
    0 = 5/(x+3)
    0(x+3) = 5
    0 = 5 -----> contradiction

    so y can be anything except y ≠ 0
    there is your range.

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