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S_A_V [24]
3 years ago
14

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.

Mathematics
2 answers:
elixir [45]3 years ago
7 0

we have that

f(x)=log(x)

g(x)=║x-3║


using a graph tool

see the attached figure


the solution are the points

(2.6,0.4)

(3.6,0.6)



Ivanshal [37]3 years ago
5 0

Answer: (2.6, 0.4), (3.6,0.6) is the solution of given equations.

Explanation: Given Functions are:

f(x)=log(x) and g(x)=|x-3|

Since, the solution of the above equations will be get after solving these two equations. Or we can say that, the intersection point of the curves made by the above equation is the solution of  the system.

After making the graph of functions f(x) and g(x)  we observed that, f(x) and g(x) are intersecting at points (2.587, 0.413) ≈(2.6,0.4) and (3.55,0.55)≈(3.6,0.6).

Thus, solution of f(x) and g(x) are (2.6,0.4) and (3.6,0.6).

Therefore, options first and fourth is correct.


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<h3>What is an even function?</h3>

The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).

let us check the given four options:-

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We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).

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