Calculus/Precalculus/Solutions

Functions

52. Let $f(x)=x^2$. Template:Question-answer Template:Question-answer Template:Question-answer

53. Let $f(x)=x+2$, $g(x)=1/x$.

a. Give formulae for

55. Consider the following function

$f(x)=\{\begin{array}{cc}-\frac{1}{9}& \text{if }x<-1\\ 2& \text{if }-1\le x\le 0\\ x+3& \text{if }x>0.\end{array}$

56. Consider the following function

$f(x)=\{\begin{array}{cc}{x}^2& \text{if }x>0\\ -1& \text{if }x\le 0.\end{array}$

57. Consider the following function

$f(x)=\frac{\sqrt{2x-3}}{x-10}$

58. Consider the following function

$f(x)=\frac{x-7}{x^2-49}$