f(x)=x-5 g(x)= radical sign(3x+1)

Question

(f + g)(x)=

(f/g)(x)=

Combining functions

Answer 1

(f + g)(x) is like saying “function f of x plus function g of x”

they provided you with function f and g you just have to plug them into the equations.

(f + g)(x)= (X-5) + radical sign(3x+1) and solve

(f/g)(x)= (X-5) / radical sign(3x+1) and solve

Answer 2

(f+g)(x)= x-5 + radical sign(3x+1)

(f/g)(x)=(x-5)/radicalsign(3x+1). You have to rationalize this, so the denominator does not have the radical. In order to rationalize it you need to multiply the top and bottom by the conjugate of the denominator which is radical sign(3x-1).

((x-5)/radical sign(3x+1))=(x*radical sign(3x-1)-5*radical sign(3x-1))/(3x-1)