Question 984598
a) f(0) is the value of the function when x equals zero,
So where there is an x, replace it with 0.
{{{f(x)=7/(2x-1)}}}
{{{f(0)=7/(2(0)-1)}}}
{{{f(0)=7/(0-1)}}}
{{{f(0)=7/(-1)}}}
{{{f(0)=-7}}}
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b) The value of h is unknown so keep it as a variable.
{{{f(1)=7/(2(1)-1)=7/(2-1)=7/1=7}}}
{{{f(1+h)=7/(2(1+h)-1)=7/(2+2h-1)=7/(2h+1)}}}
So then,
{{{f(1+h)-f(1)=7/(2h+1)-7=7/(2h+1)-7((2h+1)/(2h+1))=(7-7(2h+1))/(2h+1)=(7-14h-7)/(2h+1)=(-14h)/(2h+1)}}}