Solutions to # 4 and 5

4) the difference quotient of ln(x)=(ln(x+h)-ln(x))/h. Then simplify the numerator by writting, (ln{(x+h)/x})/h. The X's on the numerator and denomenator will then cancel making the final equation=1/h*ln(1+h/x).

5) The first thing u do in this problem is factor the 2 out of sqrt(2x+12), so the equation would equal sqrt(2*(x+6)). Doing this makes it an easier equation. Basically, it would Scale horizontally by 1/2 make the original equal to sqrt(2x). Then you would translate the graph left by 6, making the new equation equal sqrt(2(x+6).