Question

Given that f(x) = 2x + 1 and g(x) = the quantity of 3x minus 1, divided by 2, solve for g(f(3)).

Answer 1

10 is the answer to your question.

Answer 2

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