Perform the indicated operation.

(4g 2 - 9) : (2g - 3)

2g - 3

2g + 3

2g + 3 R 18

(4g^2 - 9) - - > this can be factored out.

After factorization, you will get - - > (2g-3) (2g+3)

Divide the whole factor by (2g-3)

[ (2g-3) (2g+3) ] / (2g-3)

The final answer is 2g + 3.