Question

identify the inverse function of (f(x) = \sqrt{x - 2} + 3).

a) (f^{-1}(x) = (x + 2)^2 - 3)

b) (f^{-1}(x) = \sqrt{x + 3} - 2)

c) (f^{-1}(x) = (x - 3)^2 + 2)

d) (f^{-1}(x) = \sqrt{x + 2} - 3)

question 20 (5 points)
solve the equation (\sqrt4{5x} - 4 = 1)

a) (x = 625)

b) (x = 125)

c) (x = 25)

d) (x = 81/5)

Explanation:

Find the inverse function of \(f(x) = \sqrt{x-2} + 3\)

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Solve the radical equation \(\sqrt[4]{5x} - 4 = 1\)

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Answer:

Question 1

• (A) \(f^{-1}(x) = (x + 2)^2 - 3\)
• (B) \(f^{-1}(x) = \sqrt{x + 3} - 2\)</mcq-correct>
• (C) \(f^{-1}(x) = (x - 3)^2 + 2\) (Correct answer)

<mcq-option>(D) \(f^{-1}(x) = \sqrt{x + 2} - 3\)

Question 2

• (A) \(x = 625\)
• (B) \(x = 125\) (Correct answer)
• (C) \(x = 25\)
• (D) \(x = 81/5\)