Given the following graphs of f ( x ) f(x) and g ( x ) g(x), find the value of x → 4 [ f ( x ) g ( x ) ] x→4 lim ​ [f(x)g(x)] in simplest form.

Answer 1

 

Hi Jaessence S.

You did not write those functions, so I remind you the property that how lim of multiply functions determines.

lim(f(x) . g(x)) = lim f(x) . lim g(x) when x approach to any number such as X₀

in this case you find the limit of function f when x goes to the 4 then find the limit of g(x) when x goes to the 4.

At the end find multiply of found numbers.

I hope it was useful,

Minoo

Answer 2

What are the functions for f(x) and g(x)

Multiply them together, then take the limit

ex. f(x) = 2x and g(x) = x+1

then f * g = 2x^2 + 2x

lim as x-->4 is 2(4)^2 + 2(4) = 2*16 + 2*8 = 32 +16 = 48