\( g(a)=a^{2}-4 \) \( h(a)=4 a-3 \) Find \( (g+h)(a) \)

To find \( (g+h)(a) \), we start by adding the two functions \( g(a) \) and \( h(a) \). Given: \[ g(a) = a^{2} - 4 \] \[ h(a) = 4a - 3 \] Now, we calculate \( (g + h)(a) \): \[ (g + h)(a) = g(a) + h(a) = (a^{2} - 4) + (4a - 3) \] Combining the terms, we have: \[ (g + h)(a) = a^{2} + 4a - 4 - 3 = a^{2} + 4a - 7 \] Thus, \( (g + h)(a) = a^{2} + 4a - 7 \).