Question

If F(x) = 3x² - 8x + C and F(1) = -6, what is the value of C?

Answer 1

The value of C will be -1.

Explanation:

Greetings !

`f(1) = - 6 \\ thus \: substitute \: in \: the \: equation \: \\ f(x) = 3x {}^(2) - 8x + c \\ - 6 = 3(1) {}^(2) - 8(1) + c \\ - 6 = 3 - 8 + c \\ - 6 = - 5 + c \\ - 1 = c \\ c = - 1 \\ therefore \: f(x) = 3x {}^(2) - 8x - 1 \\ f(1) = 3(1) {}^(2) - 8(1) - 1 \\ f(1) = 3 - 8 - 1 \\ f(1) =3 - 9 \\ f(1) = - 6`