Section 3.5 Clicker Problems

1. Let $h(x)=(4+x)(-3+x)$ and $g(x)=7+7x$. What real numbers are excluded from the domain of $g/h$?

   A. $-1$
   B. $-4,3$
   C. $-4,-1,3$
   D. None
   

   
   
   
   

2. Let $f(x)=5x+4$ and $g(x)=\sqrt{x-2}$. Evaluate $(f+g)(6)$.

   A. $36$ or $32$
   B. $14$
   C. $36$
   D. Not defined
   

   
   
   
   

3. Let $f(x)=x^2+x$ and $h(x)=7x-10$. Compute $(h \circ f)(2)$.

   A. $20$
   B. $32$
   C. $24$
   D. Not defined
   

   
   
   
   

4. Find two functions $f$ and $g$ so that $f(g(x)) = (5x^2+3x)^7$.

   A. $f(x)=x^7, \qquad g(x)=5x^2+3x$
   B. $g(x)=x^7, \qquad f(x) = 5x^2+3x$
   C. $f(x) = (x+1)^7, \qquad g(x) = 5x^2+3x-1$
   D. Both A and C