After examining the functions f(x) = In(x + 2) and g(x) = e*- over
the interval (-2,3], Lexi determined that the correct number of
solutions to the equation f(x) = g(x) is
(1) 1
(3) 3
(2) 2
(4) O

Question

05-03-2022
Mathematics

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After examining the functions f(x) = In(x + 2) and g(x) = e*- over
the interval (-2,3], Lexi determined that the correct number of
solutions to the equation f(x) = g(x) is
(1) 1
(3) 3
(2) 2
(4) O

Sagot :

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j4livin j4livin · Answer 1 · 2022-03-05T23:29:54-05:00

j4livin j4livin

05-03-2022

Is this math I don’t understand this question

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KarpaT KarpaT · Answer 2 · 2022-06-23T08:06:47-04:00

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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What is graph of a function?

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