Two transformations occur on F(x) to obtain G(x).
a) Multiplication by -1
This means, the function is reflected across x-axis
b) Multiplication by 5.
This means vertical stretch by a factor of 5.
So, G(x) can be obtained by reflecting F(x) across x-axis and stretching it vertically be a factor of 5.
So, the correct answer is option B
Let me give you an example
6x + 5x + 14 + 6
So all you is combine 6x and 5x
11x +14 + 6
Then you just combine the other two numbers
11x + 20