Final answer:
To find the value of x when f(x) = 8 for the function f(x) = 7/(1 - x), you solve the equation by isolating x and find that x = 1/8.
Step-by-step explanation:
To determine the value of x when f(x) = 8, given that f(x) = 7/(1 - x), we need to set the function equal to 8 and solve for x:
8 = 7/(1 - x)
Multiplying both sides by (1 - x) to eliminate the fraction gives us:
8(1 - x) = 7
Now, distribute the 8:
8 - 8x = 7
Subtract 8 from both sides:
-8x = -1
Finally, divide by -8:
x = 1/8
So, the value of x when f(x) = 8 is 1/8.