Respuesta :

Answer:

[tex] f(p) + g(p) = 2t^{2}  - 5t -3[/tex] is in standard form.

Step-by-step explanation:

Here. the given expressions are:

[tex]f(g)  = 3t^{2}  - 5t + 6[/tex]

and [tex]f(p) = 7t^{2}  - 8t^{2}  -9[/tex]

Also, standard form of the Quadratic Equation is [tex]ax^{2}   + bx+c[/tex]

Now, computing f(g) + f(p)

[tex]= (3t^{2}  - 5t + 6 )  + (7t^{2}  - 8t^{2}  -9)\\= 3t^{2}  - 5t + 6   - t^{2}  -9) =  (3t^{2} - t^{2} )- 5t +( 6     -9) \\= 2t^{2}  - 5t -3[/tex]

Or,[tex] f(p) + g(p) = 2t^{2}  - 5t -3[/tex]