Final answer:
To combine the functions g and p, we sum their coefficients by like terms to get "5t^2 + 2t - 3 as the result of g + p.
Step-by-step explanation:
To find the sum of the two functions g and p, denoted as g+p, we need to combine like terms from both equations. Given g=3t2-5t+6 and p=-8t2+7t-9, we shall add the corresponding coefficients of the same powers of t.
Adding the coefficients of t2 gives us 3t2-8t2 which simplifies to -5t2. Next, we add the coefficients of t to get -5t+7t which is 2t. Finally, we add the constants to get 6-9 that simplifies to -3.
Therefore, combining these results, we have g + p = -5t2 + 2t - 3.