In order to solve this problem you will have to find function notation.
Step 1: Find the function notation of f(3). Make sure to sub everything that has a x in for 3. f(3)=2(3)+1
Step 2: Solve for this function notation. f(3)=6+1 f(3)=7 *this is the function notation of f(3)
Step 3: Now you will need to sub in the answer for f(3) in for g(f(3)). You'll have; g(7)
Step 4: Now you need to solve this function notation using 7 to sub in for anything that has a (x). g(7)=(3x-1)÷2
Step 5: Now just the problem above. *Make sure to follow rules of PEMDAS g(7)=(3×7-1)÷2 g(7)=(21-1)÷2 g(7)=(20)÷2 g(7)=20÷2 g(7)= 10
Step 6: **REMEMBER TO PUT YOUR ANSWER BACK INTO THE FUNCTION NOTATION OF WHAT THEY ARE LOOKING FOR** In this case we are looking for g(f(3)) So, g(f(3))= 10
