Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
<h3>Inverse of functions</h3>
In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))
Given the function
f(x)= 5-3x/2 and
g(x)= 5-2x/3
f(g(x)) = f(5-2x/3)
Substitute
f(g(x)) = 5-3(5-2x)/3)/2
f(g(x)) = (5-5+2x)/2
f(g(x)) = 2x/2
f(g(x)) = x
Similarly
g(f(x)) = 5-2(5-3x/2)/3
g(f(x)) = 5-5+3x/3
g(f(x)) = 3x/3
g(f(x)) =x
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
Learn more on inverse of a function here: brainly.com/question/19859934
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Answer:
B. The mean amount of
emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg
Step-by-step explanation:
A Type II error is the failure to reject a false null hypothesis.
Given the null and alternate hypothesis of a fuel company which wants to test a new type of gasoline designed to have lower
emissions.:

where
is the mean amount of
emitted by burning one gallon of this new gasoline.
If the null hypothesis is false, then:

A rejection of the alternate hypothesis above will be a Type II error.
Therefore:
The Type II error is: (B) The mean amount of
emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg.
The answer is
6X+42+x+3
7x+ 45
Answer:

Step-by-step explanation:
As it is given as ΔQRP and ΔARC are similar, so the ratio of their corresponding sides will be same.
So,

It is given as,
RC = 3.3
PR = 1.8
AC = 6.6
PQ = ??
Putting the values,


Answer:Execute Order 66
Step-by-step explanation: