Question

The following graph shows the system { f(x)=3^x+4 g(x)=1/x-4

Which statement about the solution to the system is true?
A. It is not possible to tell whether there is a solution to the system.
B. There does not appear to be a solution to the system.
C. There appear to be multiple solutions to the system.
D. There appears to be a solution near (4,85).

Answer 1

The statement that there is no solution to the system of equations is true.

Step-by-step explanation:

In the given system of equations, f(x) = 3^x + 4 and g(x) = 1/x - 4.

To find the solution to the system, we need to determine the values of x and y that satisfy both equations.

Since f(x) involves an exponential function with a base of 3, it will keep increasing as x increases. On the other hand, g(x) involves a reciprocal function which approaches 0 as x increases. So, the lines represented by these equations will never intersect, indicating that there is no solution to the system of equations.

Therefore, the correct statement is: A. It is not possible to tell whether there is a solution to the system.