2g(3)+h(12) when g(x)=3x+4 and h(x)=sqrt x-3 simplify

Answer 1

First, we substitute g(x)=3x+4 and h(x)=sqrt x-3 into the equation:

2(3(3)+4) + 12(sqrt 12 -3)

Next, we simplify each part of the equation:

2(9+4) + 12(sqrt 12 -3)
2(13) + 12(sqrt 12) - 36

Now we multiply and add the terms:

26 + 12(sqrt 12) - 36

Finally, we simplify the terms:

26 + 12(sqrt 12) - 36 = 12 + 12(sqrt12) = 12(1+sqrt12) = 12(1+2sqrt3)

Therefore, the simplified expression is 12(1+2sqrt3).