Calculus/Precalculus/Exercises

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[edit] Functions

1. Let f(x) = x².
   1. Compute f(0) and f(2).
   2. What are the domain and range of f?
   3. Does f have an inverse? If so, find a formula for it.
2. Let f(x) = x + 2, g(x) = 1 / x.
   1. Give formulae for
      1. f + g,
      2. f − g,
      3. g − f,
      4. ,
      5. f / g,
      6. g / f,
      7. and
      8. .
   2. Compute f(g(2)) and g(f(2)).
   3. Do f and g have inverses? If so, find formulae for them.
3. Does this graph represent a function?

Solutions