We're currently learning about this in high school, and I was looking ahead in the textbook. Since we just had finals and we're on break, I wasn't able to ask anyone about this problem. It would be great if you could help me with the following problem.
f(x) is a function with domain [0; 4) and range (-1; 2]. If g(x) = a f(bx + c) + d, for some constants a, b, c, and d, and g(x) has domain (1; 2] and range (3; 7], find the values of a, b, c, and d.
So far, I know that b and c affect the domain of the function, while a and d affect the range.
Once again, I am not looking for a complete answer to this problem, but a few hints or an explanation of the process would definitely help. I appreciate the time you took to read this.