Question

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.

Consider function f.
f(x) = 3√8x+4. PLZ HELP

Answer 1

x

y

f^-1(x)= 1/8(x-4)^3 (plug in choices to match)

Explanation:

You see, the guy above me already got it right. 1/8(x-4)^3 and (x-4)^3/8 are essentially the same thing. The only difference is either dividing by 8 and multiplying by 1/8, and that's only a visual difference.

Answer 2

Switch x and y, and solve for y

`f^(-1)(x) =((x -4)^3)/(8)`

Explanation:

Given

`f(x) = 3√(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`

Now, we solve for y

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

`((x -4)^3)/(8) = y`

So, we have:

`y =((x -4)^3)/(8)`

Hence, the inverse function is:

`f^(-1)(x) =((x -4)^3)/(8)`