State all integer values of x in the interval (-3, 3] that satisfy the following
1 answer:
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Answer:
- g(x) = x + 3
Step-by-step explanation:
<h3>Given</h3>- h(x) = (f ο g)(x)
- h(x) =
- f(x) =
- g(x)
<u>We know that:</u>
- (f ο g)(x) = f(g(x))
<u>Substitute x with g(x) and solve for g(x):</u>
=
- x + 5 = g(x) + 2
- x + 3 = g(x)
- g(x) = x + 3
Answer:
Option B. t=5/3w ;1/3
Step-by-step explanation:
We are told that varies Inversely with
thus generally speaking
∝
since they are inverted, <u>otherwise</u> if they were proportionally varied then
∝
. This means that there is a constant value (
) for which
is inversely proportional to
and can be mathematically expressed as:
Eqn. (1)
Now since we are given the values of and
, we can plug them in Eqn. (1) and find our constant of proportionality
as follow:
Now that we have our constant we can find the new value for the second value of
as follow:
Therefore based on the options give, we can see that Option B. is correct since
and for
, then