Answer:
D
Step-by-step explanation:
Nothing gets rid of the square root signs. That makes a and b incorrect as answers without doing a single calculation. Now the race is on between c and d.
The dot between f and g only means that f(x) and g(x) are multiplied together. There is nothing in that statement that helps us distinguish c and d.
So the two roots are multiplied together f·g(x) = √[(x + 7)(x - 2)]
Expand the two terms between the square brackets and you get
[x^2 + 7x - 2x - 14]. When you combine like terms you get
[x^2 + 5x - 14] or f·g(x) = √(x^2 + 5x - 14]
The answer is D
