To find the inverse of the function f(x) = 0.3(4)x, we first replace f(x) with y to get y = 0.3(4)x.

Next, we swap x and y to get x = 0.3(4)y.

Then, we solve for y to find the inverse function. Divide both sides by 0.3 to get x/0.3 = 4y.

Then, divide both sides by 4 to get y = x/(0.3*4).

So, the inverse function is f−1(x) = x/1.2.

Finally, we can find the value of f−1(6) by substituting 6 for x in the inverse function:

f−1(6) = 6/1.2 = 5.

Question

To find the inverse of the function f(x) = 0.3(4)x, we first replace f(x) with y to get y = 0.3(4)x.

Next, we swap x and y to get x = 0.3(4)y.

Then, we solve for y to find the inverse function. Divide both sides by 0.3 to get x/0.3 = 4y.

Then, divide both sides by 4 to get y = x/(0.3*4).

So, the inverse function is f−1(x) = x/1.2.

Finally, we can find the value of f−1(6) by substituting 6 for x in the inverse function:

f−1(6) = 6/1.2 = 5.

Knowee AI · Accepted Answer

To find the inverse of the function f(x) = 0.3(4)x, we first replace f(x) with y to get y = 0.3(4)x.

Next, we swap x and y to get x = 0.3(4)y.

Then, we solve for y to find the inverse function. Divide both sides by 0.3 to get x/0.3 = 4y.

Then, divide both sides by 4 to get y = x/(0.3*4).

So, the inverse function is f−1(x) = x/1.2.

Finally, we can find the value of f−1(6) by substituting 6 for x in the inverse function:

f−1(6) = 6/1.2 = 5.

Given the function f(x) = 0.3(4)x, what is the value of f−1(6)?