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Orlov [11]
3 years ago
8

Drag each tile to the correct location on the image. Each tile can be used more than once, but not all images will be used.

Mathematics
1 answer:
OverLord2011 [107]3 years ago
7 0

Answer:

Switch x and y, and solve for y

f^{-1}(x) =\frac{(x -4)^3}{8}

Step-by-step explanation:

Given

f(x) = 3\sqrt{8x} + 4

Required

Complete the steps to determine the inverse function

Solving (a): Complete the blanks

Switch x and y, and solve for y

Solving (b): Determine the inverse function

f(x) = \sqrt[3]{8x} + 4

Replace f(x) with y

y = \sqrt[3]{8x} + 4

Switch x and y

x = \sqrt[3]{8y} + 4

<u>Now, we solve for y</u>

Subtract 4 from both sides

x -4= \sqrt[3]{8y} + 4-4

x -4= \sqrt[3]{8y}

Take cube roots of both sides

(x -4)^3= 8y

Divide both sides by 8

\frac{(x -4)^3}{8} = y

So, we have:

y =\frac{(x -4)^3}{8}

Hence, the inverse function is:

f^{-1}(x) =\frac{(x -4)^3}{8}

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