(a) Show that $$ \frac{3}{\sqrt{9-3 x}}=\left(1-\frac{x}{3}\right)^{-\frac{1}{2}} $$

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Frank Howell · Accepted Answer

To prove the equality, simplify the left-hand side by factoring and using square roots. Then, simplify the right-hand side and relate it to the left-hand side by expressing the square root in terms of the expression in the right-hand side. Finally, show that both sides are equal.

(a) Show that \( \frac{3}{\sqrt{9-3 x}}=\left(1-\frac{x}{3}\right)^{-\frac{1}{2}} \)

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(a) Show that \( \frac{3}{\sqrt{9-3 x}}=\left(1-\frac{x}{3}\right)^{-\frac{1}{2}} \)

Upstudy ThothAI Solution

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Step-by-step Solution

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