Question 979385
f(x)=4x+11
f(x+h)=4(x+h)+11=4x+4h+11
f(x+h)-f(x)=4h
eventually, you will divide by h and as h approaches 0, this will be 4.

f(x)=1/x (edited for exponent)

f(x+h)=1/(x+h)

f(x+h)-f(x)=[1/(x+h)]-(1/x)=  (x-x-h)/[(x(x+h)]
-h/(x^2+xh)


eventually, you will divide by h and as h approaches 0, it will become -x^-2.