Question

GUYS PLEASE ANSWER THESE THREE QUESTIONS CORRECTLY. ITS WORTH 100 POINTS AND A BRAINLIEST ANSWER. I WOULD BE SO GRATEFUL AND ITS URGENT. IT SHOULD BE CORRECT!

Answer 1

Question 8:

2x - 3 > 0

[It can't be equal to zero as it is a denominator and that would not result in a real function, also it can't be less than zero, as it is in square root, and it would again result in a complex number]

=> 2x > 3

=> x > 3/2

Thus, x € $\tt{ (\frac{3}{2} , \infty) }$ {Option B}

Question 9:

3x + 2 >< 0

[Here in, the denominator can be negative, as it is not in a square root, also, the only feature of this function can be that the denominator is not equal to zero, since that would result in a not defined number]

=> 3x >< -2

=> x >< -2/3

Thus, x € R - {-2/3} [Option C]

Question 10:

a^2 - x^2 >= 0

[This time, since the function is not in a fraction form or either in the denominator, it can be equal to zero as well]

=> a^2 >= x^2

=> a >= x

If a > 0, then:

=> x € [0, a] {Option C}

Answer 2

Answer:

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