To find \((f + g)(x)\), we need to add the functions \(f(x)\) and \(g(x)\).
Given:
- \(f(x) = 6x^2 + 2x - 7\)
- \(g(x) = 4x - 3\)
We add the two functions:
\[ f(x) + g(x) = (6x^2 + 2x - 7) + (4x - 3) \]
Now we combine like terms:
- The \(x^2\) term: \(6x^2\)
- The \(x\) terms: \(2x + 4x = 6x\)
- The constant terms: \(-7 - 3 = -10\)
So, we have:
\[ (f + g)(x) = 6x^2 + 6x - 10 \]
Thus, \((f + g)(x) = 6x^2 + 6x - 10\).