Please help me answer the following question.
2 answers:
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Answer:
C and B
Step-by-step explanation:
(6)
×
← cancel 3x - 7y on numerator and denominator
= ×
=
=
→ C
(7)
÷
Factorise the denominators of both fractions
x² - 9 = x² - 3² = (x - 3)(x + 3) ← difference of squares
4x - 12 ← factor out 4 from each term
= 4(x - 3)
Then rewrite as
÷
← cancel 8 and 4 by 4
= ÷
• leave first fraction, change ÷ to × , turn second fraction ' upside down'
= ×
← cancel x - 3 on numerator and denominator
= ×
← cancel 2 and 6 on numerator and denominator
= → B
The given expression is
THe given expression is a rational expression, and rational expression should not have 0 in the denominator.
Moreover, the denominator is a square root term, and square root don't have a value for negative number .
Therefore 2x+10 must be greater then 0. That is
Therefore the required domain in set builder form is
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