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Answer:
Step-by-step explanation:
Start by finding the LCM of the coefficients of each polynomial:
Next, to find the least common multiple of each of the following terms, we need to take the absolute minimum we can of each term (,
, and
). The largest term of
is
in the first polynomial, so we'll take exactly that for our
term in the LCM, absolutely nothing more. Similarly, the largest term of
in any of the three polynomials is
(also in the first polynomial) and the largest
term in any of the three polynomials is
in the second polynomial. Thus, the LCM of all our polynomials is:
Answer:
<u>Step-by-step explanation:</u>
y = 8x² - 3 (Restriction: none - x is All Real Numbers)
The inverse is when you swap the x's and y's and then solve for y
x = 8y² - 3 <em>swapped the x and y</em>
x + 3 = 8y² <em>added 3 to both sides</em>
<em>divided both sides by 8</em>
<em>square rooted both sides</em>
<em>simplified</em>
rationalized the denominator
<em>simplified</em>
<em>simplified</em>
<u>Restriction:</u>
The radical <em>(inside the square root sign)</em> cannot be negative
→ 2(x + 3) ≥ 0
x + 3 ≥ 0 <em>divided both sides by 2</em>
x ≥ -3 <em>subtracted 3 from both sides</em>