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Sagot :
The number of solutions to the equation f(x) = g(x) is option (2) 2 is the correct answer.
What is graph of a function?
A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
The functions f(x) = In(x + 2) and g(x) = e^x - 1 over the interval (-2,3].
Plot the two functions f(x) and g(x) in the graph as shown below.
In the given interval (-2,3], these two functions intersect at two points.
The point of intersection gives the solution of the function.
Hence we can conclude that the number of solutions to the equation f(x) = g(x) is option (2) 2 is the correct answer.
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