Neal has the correct answers to the intermediate steps in the solution, but there are a few details missing about the operations needed to perform them.
To help clarify, here is what you need to do in a procedural format:
As shown above, f(t) is nested into g(t), therefore you need to solve f(t2) first. Hence that's why you have 2t2-3= f(t2).
When you substitute the result of Step 1 back into the nested g(t) function, you get:
g(f(t2)) = g(2t2-3) = -3(2t2-3)2+4. The (2t2-3)2 term needs expanded before we obtain the final answer.
Jennifer D.
- As shown above, f(t) is nested into g(t), therefore you need to solve f(t2) first. Hence that's why you have 2t2-3= f(t2).
- When you substitute the result of Step 1 back into the nested g(t) function, you get:
g(f(t2)) = g(2t2-3) = -3(2t2-3)2+4. The (2t2-3)2 term needs expanded before we obtain the final answer.08/25/16