Question

which function is the inverse of (h(x) = \frac{18x+7}{3})?

a) (k(x) = \frac{7x-3}{18})

b) (k(x) = \frac{18x-7}{3})

c) (k(x) = \frac{3x-7}{18})

d) (k(x) = \frac{3x+7}{18})

question 11 (5 points)
simplify: (sqrt{36} - sqrt{6} + sqrt{216})

a) (7sqrt{36} - sqrt{6})

b) (42 - sqrt{6})

c) (6 + 5sqrt{6})

d) (6 + 35sqrt{6})

question 12 (5 points)
solve the inequality: ((x - 3)^{\frac{1}{2}} + 2 ge 4)

a) (x ge 35)

b) (x ge 7)

c) (x ge 13)

d) (x ge 11)

Explanation:

Find the inverse of \(h(x) = \frac{18x+7}{3}\)

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Simplify \(\sqrt{36} - \sqrt{6} + \sqrt{216}\)

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LATEXBLOCK1
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Solve the inequality \((x-3)^{\frac{1}{2}} + 2 \ge 4\)

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Answer:

Question 1

• A) \(k(x) = \frac{7x-3}{18}\)
• B) \(k(x) = \frac{18x-7}{3}\)
• C) \(k(x) = \frac{3x-7}{18}\) (Correct answer)
• D) \(k(x) = \frac{3x+7}{18}\)

Question 2

• A) \(7\sqrt{36} - \sqrt{6}\)
• B) \(42 - \sqrt{6}\)
• C) \(6 + 5\sqrt{6}\) (Correct answer)
• D) \(6 + 35\sqrt{6}\)

Question 3

• A) \(x \ge 35\)
• B) \(x \ge 7\) (Correct answer)
• C) \(x \ge 13\)
• D) \(x \ge 11\)