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

Evaluate The Function F G3 For The Given Of X class=

Sagot :

Question:

Solution:

Consider the following functions:

[tex]f(x)\text{ = 2x}[/tex]

[tex]g(x)\text{ = I x + 6 I}[/tex]

then, the multiplication of the above functions is:

[tex](f.g)(x)\text{ = f(x) . g(x)}[/tex]

this is equivalent to:

[tex]f(x).g(x)\text{ =2x . I x + 6 I}[/tex]

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

[tex]f.g(-3)\text{ =2(-3). I -3 + 6 I = -6. I 3 I = }-6\text{ . 3 = -18}[/tex]

then, the correct answer is:

[tex]f.g(-3)\text{ = -18}[/tex]

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