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Given f(x) = 1/x and g(x) = x − 3 find (f o g)(x) And domain?

Science & Mathematics by Anonymous 2018-05-25 14:05:50

Social Science

Given f(x) = 1/x and g(x) = x − 3 find (f o g)(x) And domain?

5 answers

  • Anonymous

    (f o g)(x) = 1/(x - 3) The domain is all real numbers except x = 3.

  • Anonymous

    f(g(x)) = 1/(x - 3) Domain is all numbers except '(+)3'

  • Anonymous

    f(x) = 1/x → domain: IR - { 0 } g(x) = x - 3 → domain: IR fog(x) = f[g(x)] fog(x) = 1/x → and you substitute x by g(x) fog(x) = 1/(x - 3) → domain: IR - { 3 }

  • Anonymous

    (fog)(x) = 1/(x-3) Domain x ≠ 3

  • Anonymous

    f(g(x)) = 1 / ( x - 3 ) , all x ╪ 3

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