Question

f(x)=x^(3)+3x,
find
a. f(2+h)-f(2)
b. f(1/4)
c. f(√2)
d f(1+h)
e. f(1)
f. f(1+h)-f(1)

Answer 1

This is one where you substitute in and solve. Because you have the function defined, this should not be too hard.

\[f(x)=x^3+3x\]
Now plug (a.) into this:

\[f(2+h)=(2+h)^3+3(2+h)\] and \[f(2)=(2)^3+3(2)\] therefore \[f(2+h)-f(2)= (2+h)^3+3(2+h)-[(2)^3+3(2)]\]
now reduce that to simplest form.
Do a simialr process for the rest.