Given f(x) =the quantity of 5x plus 1, divided by 2 , solve for f−1(8).

The value of f-1(8) is 3.

In order to find this, we first need to find the inverse function. Since f-1 means inverse function, it is the first thing to look for.

To find any inverse function, you need to switch the f(x) and x values and then solve for the new f(x).

f(x) = (5x + 1)/2 > Switch x and f(x)

x = (5f(x) + 1)/2 > Multiply both sides by 2

2x = 5f(x) + 1 > Subtract 1 from both sides

2x - 1 = 5f(x) > Divide by 5

f-1(x) = (2x - 1)/5

Now we can plug 8 in for the x in the new equation to find the value.

f-1(x) = (2x - 1)/5

f-1(8) = (2(8) - 1)/5

f-1(8) = (16 - 1)/5

f-1(8) = (15)/5

f-1(8) = 3

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step-by-step explanation: