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:
a. yes, because there is a straight line that passes through the origin (0, 0). b. no, there is a straight line but it does not pass through the origin.
Step-by-step explanation:
Answer: Choice A
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Explanation:
Recall that 
and 
. The connection between tangent and cotangent is simply involving the reciprocal
From this, we can say,
In the second to last step, a pair of sine terms cancel. In the last step, a pair of cosine terms cancel.
All of this shows why is identical to 
Therefore, 
is an identity. In mathematics, an identity is when both sides are the same thing for any allowed input in the domain.
You can visually confirm that is the same as by graphing each function (use x instead of alpha). You should note that both curves use the exact same set of points to form them. In other words, one curve is perfectly on top of the other. I recommend making the curves different colors so you can distinguish them a bit better.
See that remainder in the lower, right hand corner of this array? It's 2. That is the value of f(-2).
Answer:
Step-by-step explanation:
Given
Molly: 50 out of 200
Joel: x out of 280
Required
Find x
Start by representing the giving parameters as ration
Molly= 50 : 200
Joel = x : 280
From the question, the ratios are equivalent. So,
Convert to fractions
Solve for x
