Given f, of, x, equals, 2, x, squared, minus, x, minus, 12f(x)=2x

Question

2
−x−12, find f, of, 8f(8)

Answer 1

To find \( f(8) \) for the function \( f(x) = 2x^2 - x - 12 \), we substitute \( x = 8 \) into the given function.

\[ f(8) = 2(8)^2 - (8) - 12 \]

Calculating \( (8)^2 \):

\[ (8)^2 = 64 \]

Now substitute this back into the equation:

\[ f(8) = 2(64) - 8 - 12 \]

Calculating \( 2(64) \):

\[ 2(64) = 128 \]

Now, substituting this back in, we have:

\[ f(8) = 128 - 8 - 12 \]

Calculating \( 128 - 8 \):

\[ 128 - 8 = 120 \]

Now, subtract \( 12 \):

\[ 120 - 12 = 108 \]

Thus, the value of \( f(8) \) is

\[ \boxed{108} \]