Question

Evaluate the function (f •g)(-3) for the given of x

Answer 1

Question:

Solution:

Consider the following functions:

`f(x)\text{ = 2x}`

`g(x)\text{ = I x + 6 I}`

then, the multiplication of the above functions is:

`(f.g)(x)\text{ = f(x) . g(x)}`

this is equivalent to:

`f(x).g(x)\text{ =2x . I x + 6 I}`

then, evaluating the previous function at x = -3, we obtain:

`f.g(-3)\text{ =2(-3). I -3 + 6 I = -6. I 3 I = }-6\text{ . 3 = -18}`

then, the correct answer is:

`f.g(-3)\text{ = -18}`