This is always true.
A parallelogram is defined as a four-sided figure whose two pairs of opposite sides are parallel (they do not intersect when extended infinitely).
Meanwhile, a rectangle is defined as a type of four-sided figure whose sides are at right angles to each other. If all four sides of a figure are at right angles, then the opposite sides will be parallel, meaning that any rectangle is also a parallelogram.
Answer: 1266
Step-by-step explanation:
<u>ANSWER: </u>
Domain of a(x) = 3x + 1 and b(x) = x – 4 function is universal set, i.e. (-∞, ∞).
<u>SOLUTION:
</u>
Given, two functions are a(x) = 3x + 1 and b(x) = x – 4,
We need to find what is the domain of (b. a) (x)?
We know that, (b. a) (x) is an arithmetic combination of a(x) and b(x)
Now, (b. a) (x) = b(x).a(x)
= (x – 4).(3x + 1)
= x(3x + 1) – 4(3x + 1)
Now, let us find the domain of above function.
We know that, domain of a function is set of values which are defined under the given function.
As the above equation is quadratic equation, no value can give the result as undefined.
Hence, domain of given function is universal set, i.e. (-∞, ∞).
Answer:
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