Factorize3a⁴+18a²-21-2b-3b²
2 answers:
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Answer: Choice C.
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Explanation:
The domain is the set of all allowed x inputs.
Here we see that x = -3 is the smallest x value possible as it is from the left-most point. The graph goes on forever to the right, so there is no largest x value. Effectively infinity is the largest x value even though infinity is not a number.
We can say the domain is which can be simplified to
or
In short: x can be -3 or larger.
we have
we know that
The x-intercept is the value of x when the value of the function is equal to zero
so
in this problem
Find the roots of the function
equate the function to zero
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
Square root both sides
therefore
<u>the answer is</u>
the x-intercepts are the points and