Given the functions f(x) = 6x+1 and g(x )= 4-x find the equations.

Question

Find the equations:

Enter the answers in fully simplified and expanded form:

 

f+g =

 

f-g =

 

f×g =

 

f÷g =

 

I found the DOMAIN for all but  f÷g ?

 

Thank You ... :-)

Answer 1

Think about what values of x would make f÷g (f/g) an invalid function. Division by a number is a valid operation provided the number isn't zero. So we want to ask ourselves what values of x make it so f/g is division by zero and leave them out.

Answer 2

(f + g)(x) = (6x + 1) + (4 - x)

(f - g)(x) = (6x + 1) - (4 - x)

(f · g)(x) = (6x + 1)(4 - x)

(f / g)(x) = (6x + 1) / (4 - x)