Question

How can the equation 3ˣ=4x+1 be used to check any solutions indicated by the graphs of Y=f(x) and )y=g(x)?

a) By substituting the solutions into the equation and verifying equality.
b) By analyzing the slopes of the functions at their respective solutions.
c) By plotting the solutions on a graph and checking for intersection points. d) By comparing the intercepts of the functions to the solutions of the equation.
d) By comparing the intercepts of the functions to the solutions of the equation.

Answer 1

To check the solutions indicated by the graphs of two functions, f(x) and g(x), you can substitute the solutions into the equation 3ˣ=4x+1 and verify equality.

Step-by-step explanation:

The equation 3ˣ=4x+1 can be used to check any solutions indicated by the graphs of two functions, f(x) and g(x), by substituting the solutions into the equation and verifying equality.

To do this, you would first find the x-values of the intersection points of the graphs of f(x) and g(x). Then, for each intersection point, you would substitute the x-value into the equation 3ˣ=4x+1 to find the corresponding y-value. Finally, you would compare the calculated y-values with the y-values of f(x) and g(x) at the respective x-values.

If the y-values obtained from the equation match the y-values of f(x) and g(x), then the solutions indicated by the graphs of f(x) and g(x) are consistent with the equation 3ˣ=4x+1.