Answer:
To find f(8), we can substitute x = 8 into the expression for f(x):
f(x) = (15 - 15x + 14x^2) / (28 - x)
f(8) = (15 - 15(8) + 14(8)^2) / (28 - 8)
f(8) = (15 - 120 + 896) / 20
f(8) = -209/4
Therefore, f(8) is equal to -209/4.
Explanation:
The given function is:
f(x) = (15 - 15x + 14x^2) / (28 - x)
To find f(8), we simply substitute x = 8 into the expression for f(x):
f(8) = (15 - 15(8) + 14(8)^2) / (28 - 8)
Note that we replaced every occurrence of x in the expression for f(x) with 8, since we are evaluating the function at x = 8.
Next, we simplify the expression inside the parentheses:
15 - 15(8) + 14(8)^2 = 15 - 120 + 896 = 791
Similarly, we simplify the denominator:
28 - 8 = 20
Substituting these values back into the expression for f(8), we get:
f(8) = 791 / 20
This expression cannot be simplified any further, so we leave the answer as a fraction.
Therefore, f(8) is equal to -209/4.