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

Question

asked Jul 23, 2023 89.0k views

1 Answer

Fragon · Answer 1 · 2023-07-29T18:28:35+0000

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:

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