Final answer:
To find the vector x transformed by t(x) = ax that results in vector b, solve the equation ax = b to get x = b/a. The vector x is unique as long as a is not zero.
Step-by-step explanation:
The question asks for a vector x such that when transformed by the function t(x) = ax, the image is the vector b. To find this vector x, you simply need to solve the equation t(x) = b, which after substituting t(x) becomes ax = b. Assuming a is not zero, x would be x = b/a. It's important to note that x is unique provided that a is not zero, because every non-zero number has a unique multiplicative inverse.