Answer:
224.7
Step-by-step explanation:
Answer: the fourth option; all the real values except x = 7 and the x for which f(x) = - 3
Explanation:
1) the composed function (g ° f) )x= is the application of the function g (x) to the function f(x), this is you first apply f(x) and then apply g(x): g [f(x) ]
2) So the domain is the set of values for which f(x) is defined and then those values of f(x) for which g(x) is defined.
3) The values of x for which f(x) is defined is all the real values except x = 7.
4) The values of f(x) for which g(x) is defined are all the values of f(x) except f(x) = - 3.
5) So, the domain of the composed function is all the real values except x = 7 and the x for which f(x) = - 3
6) Important remark: notice that there is an error in the statements listed, because saying that the domain is all the real values except x ≠ 7 and f(x) ≠ - 3 means that tha domain is only x = 7 and f(x) = - 3, when what they meant was that the composed function is not defined for x = 7 and f(x) = - 3 (this is a bad use of double negation which is a good expample of why double negation must be avoided).
Answer:

Step-by-step explanation:
First we need to write in correct form :

We know how to divide fractions. If we can divide numerator by numerator, denominator by denominator, we just do it. In this example we can not do that.
So, we rewrite first fraction and multiply by reciprocal second ( numerator and denominator change place)

Now, multiply numerator by numerator, denominator by denominator :

Answer:Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
a
2
-
b
2
=
(
a
+
b
)
(
a
-
b
)
where
a
=
2
x
a
=
2
x
and
b
=
3
b
=
3
.
(
2
x
+
3
)
(
2
x
−
3
)
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
5/x = 4/8
Cross multiply
4*x = 5*8
4x = 40
x = 10
Answer is 10
You are correct