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zmey [24]
3 years ago
11

F(x) = square root 3x+7 , g(x) = square root 3x-7 Find (f + g)(x).

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
5 0
Your basically building a new equation with the two functions given to you.
(sqrt(3x + 7)) + (sqrt(3x - 7)) = 0

Then just open up the brackets and simplify further.
sqrt(3x + 7) + sqrt(3x - 7)= 0

Nothing to special really happened there, just removed the brackets. Now you move one of the radicals to the other side so you can square the whole equation.
sqrt(3x + 7) = - sqrt(3x - 7)

Then go ahead and square both sides to remove the radical.
3x + 7 = 3x - 7

Now if you kept trying to isolate x, you find that both sides will just cancel each other out and you are left with,
7 = -7

Since that statement isn't true your answer will be that there is no solution to this equation.
x ∈ Ø
emmainna [20.7K]3 years ago
5 0

Answer:

The solution is (f+g)(x)=\sqrt{3x+7}+\sqrt{3x-7}

Step-by-step explanation:

We need to find out the (f+g)(x)

Given functions are :

f(x)=\sqrt{3x+7}             ........(1)

and g(x)=\sqrt{3x-7}     ........(2)

To find out the (f+g)(x), we need to add f(x) and g(x)

From equation (1) and (2)

(f+g)(x)=\sqrt{3x+7}+\sqrt{3x-7}

Therefore, the solution is (f+g)(x)=\sqrt{3x+7}+\sqrt{3x-7}

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