Question

Let f(x) = x2 - 18 and g(x) = 10- X.
-
Find (fg)(-10)

Answer 1

`1640`

Step-by-step explanation:

Here, we want to get the value of the composite function

`(fg)(-10)\text{ = (f(x)}* g(x))(-10)`

We multiply f(x) by g(x), then substitute -10 for x

We have that as:

`\begin{gathered} (x^2-18)(10-x) \\ =10x^2-x^3-180+18x \end{gathered}`

From here, we can substitute -10 for x

Mathematically, we have this as:

`\begin{gathered} ((-10)^2-18))(10-(-10)) \\ =\text{ (100-18)(20)} \\ =20(82)\text{ = 1640} \end{gathered}`