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21.01.2021 •
Mathematics
If (x)=
X-2
and d(x) = x + 3, what is the domain of (cd)(x)?
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Ответ:
Option (2)
Step-by-step explanation:
Given functions are,
c(x) =![\frac{5}{x-2}](/tpl/images/1051/4223/ef53a.png)
d(x) = x + 3
Equation of the composite function will be,
(cd)(x) = c(x) × d(x)
=![\frac{5}{(x-2)}\times (x+3)](/tpl/images/1051/4223/133e0.png)
=![\frac{5(x+3)}{(x-2)}](/tpl/images/1051/4223/b2b48.png)
This function is defined only when denominator is not equal to zero.
(x - 2) ≠ 2
Therefore, for real numbers except x = 2 will be the domain of the composite function.
Option (2) will be the answer.
Ответ:
C.a little bit because the question is hard i dont know how to solve