Question

f(x)= sqrt x+4
What is f(x+h) + f(x)?

Answer 1

f(x+h)=sqrt(x+h)+4
so f(x+h)+f(x)=...........

Answer 2

its sqrt(x+4+h) + sqrt(x)

you cannot simplify anymore, but this is usually used to
find the derivative of f(x).

Answer 3

its sqrt(x+h)+4+sqrt(x)+4=sqrt(x+h)+sqrt(x)+8

Answer 4

wait is the sqrt suppose to be over the 4?

Answer 5

or just the x?

Answer 6

Yes.
Over it's x+4 all under the squareroot.

Answer 7

k so f(x+h)=sqrt(x+h+4)
therefore we have f(x+h)+f(x)=sqrt(x+h+4)+sqrt(x+4)

Answer 8

So it's\[\sqrt{x+h+4}\] + \[\sqrt{x+4}\]

Answer 9

yes