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

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

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

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

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

So, we have:

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

Hence, the inverse function is:

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

Answer 2

Answer:

x

y

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

Step-by-step 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.