Math  /  Algebra

QuestionWhich intercepts will help you find the roots of the equation if 3x+4=2\sqrt{3 x+4}=-2 ?
Select one: a. xx-intercepts of the graph of the function y=3x+42y=\sqrt{3 x+4}-2 b. xx-intercepts of the graph of the function y=3x+4+2y=\sqrt{3 x+4}+2 c. yy-intercepts of the graph of the function y=3x+42y=\sqrt{3 x+4}-2 d. yy-intercepts of the graph of the function y=3x+4+2y=\sqrt{3 x+4}+2

Studdy Solution
Determine which intercepts are relevant for finding the roots.
Since we are looking for the roots of the equation 3x+4=2\sqrt{3x+4} = -2, we need to consider the xx-intercepts of the function related to this equation. However, since the equation has no real solutions, the graph of the function y=3x+42y = \sqrt{3x+4} - 2 will not cross the xx-axis, meaning it will have no xx-intercepts.
Therefore, the correct answer is: a. xx-intercepts of the graph of the function y=3x+42y = \sqrt{3x+4} - 2

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