Problem 96 of 7
Evaluate the combined advanced function expression (f+g)(1) where f(x)=e^(x-1) and g(x)=1/x at 1.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
substitute and simplify with domain checks.
Hidden until you reveal it.
Substitute into each function or combined expression and check domain.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Check that the input belongs to the domain of every involved function and denominator is nonzero.
2. Evaluate each component at the input.
3. Apply the requested operation.
4. Simplify exactly or approximate as directed.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Evaluation at an input outside either function's domain.