A function f(x) has solutions if we can find a value to plug in that leads to 0. In other words, there are solutions to f(x) = 0. Another term for "solution" is "root" or "x intercept"
An exponential function may cross the x axis at one point only. Though there are plenty of cases when there are no solutions at all. For instance, in the case of f(x) = (2^x) + 10
The right hand side will never be equal to zero no matter what you plug in for x. The graph will never cross the axis.
To answer your question, yes it is possible to have an exponential equation to have no solutions.
Answer:
21.16
Step-by-step explanation:
Starting from the theory we have the following equation:

Using the data supplied in the exercise, we have subtracting the mean and dividing by the standard deviation:

solving for "c", knowing that fi is a tabulating value:

therefore the value of c is equal to 21.16
3/2 because you divide both by 2