Question

Help me please I don’t know what to do

Answer 1

To find an inverse function first replace f(x) with y

f(x) = 8*sqrt(x)
y = 8*sqrt(x)

Then, simply switch the places of the x and y.

x = 8sqrt(y)

Now solve for the new y by squaring both sides (to get rid of the root)

x^2 = 64y

divide to get

y = x^2/64. This is the inverse function or option C.

Answer 2

The inverse of the function f(x) = 8x, for x ≥ 0, is f(x) = x, for x ≥ 0. The correct answer is d. f(x)=1/8x², for x ≥ 0.

To find the inverse of the function f(x) = 8x, for x ≥ 0, we need to switch the roles of x and y and solve for y.

Step 1: Switch x and y

y = 8x

Step 2: Solve for x

x = y/8

Step 3: Replace y with f(x)

x = f(x)/8

Step 4: Rewrite as f(x)

f(x) = 8x/8 = x

Therefore, the inverse of the function f(x) = 8x, for x ≥ 0, is f(x) = x, for x ≥ 0. The correct answer is d. f(x)=1/8x², for x ≥ 0.