F(x) = square root of quantity three x plus seven. , g(x) = square root of quantity three x minus seven.
find (f + g)(x).

Step-by-step explanation:

we need to find (f+g)(x)

(f+g)(x)= f(x) + g(x)

replace f(x) and g(x) expressions

(f+g)(x)= f(x) + g(x)=

both square root have different terms inside the root

so we cannot add square root terms.

3.75

Step-by-step explanation: (Might need calculator)

You said "The sum of four times a number and negative three us twelve. What is the number? " which means 4n+(-3)=12.

4n is 4*n, to let you know.

To make it easier, you can turn 4n+(-3)=12 into 4n-3=12. From there you can complete the process:

4n-3=12

Add 3 to both sides (12+3=15) (-3+3=0, they cancel out)

4n=15

Divide both sides by 4 (15/4=3.75) (4/4=1, they cancel out)

You get=

n=3.75 or 3 3/4

Lets double check:

4n-3=12

4(3.75)-3=12

15-3=12

12=12

True. Hope this helps!