Calculus/Precalculus/Solutions

Functions
52. Let $$f(x)=x^2$$.

53. Let $$f(x)=x+2$$, $$g(x)=1/x$$.
 * a. Give formulae for

55. Consider the following function
 * $$f(x) = \begin{cases} -\frac{1}{9} & \mbox{if } x<-1 \\ 2 & \mbox{if } -1\leq x \leq 0 \\ x + 3 & \mbox{if } x>0. \end{cases} $$

56. Consider the following function
 * $$f(x) = \begin{cases} x^2 & \mbox{if } x>0 \\ -1 & \mbox{if } x\leq 0. \end{cases} $$

57. Consider the following function
 * $$f(x) = \frac{\sqrt{2x-3}}{x-10} $$

58. Consider the following function
 * $$f(x) = \frac{x-7}{x^2-49} $$