Question

y=f(x)=1/x. Use algebra to find a simplified rational expression for the slope of the line between (3, f(3)) and (3+h, f(3+h))?? h cannot=0. ...?

Answer 1

`f(x)= (1)/(x) \\ \\ (3,f(3))=(3,(1)/(3) ) \\ \\ (3+h,f(3+h))=(3+h,(1)/(3+h) ) \\ \\ m= ((1)/(3+h)-(1)/(3))/(3+h-3) =( (3-(3+h))/(3(3+h)))/(h) =( 3-3-h)/(3(3+h)h) = (-h)/(3(3+h)h) =- (1)/(3(3+h))`