Question

1. Part A.) For the f(x) = 5x + 8 and g(x) = x - 3. Calculate (f o g)(x)
Part B.) f(x) = 3x + 5 and g(x) = x^2. Calculate (f o g)(-3)
SHOW ALL YOUR WORK TO RECEIVE FULL CREDIT!
Answer:
A.) First plug in g(x) into the variable of f(x)
1. 5x + 8 becomes 5 (x - 3) + 8
2. 5 times x = 5x and 5 times 3 equals 15
3. the problem becomes 5x - 15 + 8
4. Simplifying the equation makes it 5x - 23
5. The Answer is 5x - 23

B.) First plug the -3 into g(x)
1. -3^2 = 9
2. Plug in g(x) into the variable of f(x)
3. That gives you 3(9) + 5
4. 3 times 9 = 27
5. 27 + 5 = 32
6. The Answer is 32