Question

F(x) = Square root of quantity three x plus seven. , g(x) = Square root of quantity three x minus seven.

Answer 1

Answer:

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

Step-by-step explanation:

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

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

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)= $\sqrt{3x+7} + \sqrt{3x-7}$

both square root have different terms inside the root

so we cannot add square root terms.

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

Answer 2

F(x) = sqrt(3x+7)
g(x) = sqrt(3x-7)

(f+g)(x) = sqrt(3x+7) +sqrt(3x-7)