1/2g^2 + 7/2 + 3g^2 - 4/5g + 1/4

For this case we have the following expression:

1 / 2g ^ 2 + 7/2 + 3g ^ 2 - 4 / 5g + 1/4

The first thing we must do is to group terms with the same degree:

g ^ 2 (1/2 + 3) - 4 / 5g + (7/2 + 1/4)

Then, rewriting we have:

(7/2) g ^ 2 - (4/5) g + (15/4)

Answer:

(7/2) g ^ 2 - (4/5) g + (15/4)