To find \( f(7) \) for the function \( f(x) = 2x^2 - 6 \), substitute \( x = 7 \) into the function:
\[ f(7) = 2(7^2) - 6 \]
First, calculate \( 7^2 \):
\[ 7^2 = 49 \]
Now substitute this value into the function:
\[ f(7) = 2(49) - 6 \]
Now calculate \( 2 \times 49 \):
\[ 2 \times 49 = 98 \]
Now, subtract 6:
\[ f(7) = 98 - 6 = 92 \]
Thus, the answer is:
\[ f(7) = 92 \]