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Select the correct answer.
Consider functions fand g.
f(x) = ^x4 + 9x^2 - 3
g(x) = (1/2) ^x-2
Using a table of values, what are the approximate solutions to the equation f(x) = g() to the nearest quarter of a unit?
OA -0.5 and
OB.
I-0.25 and
OC
OD. I
0.5
1.5
-0.25 and ≈ 2.5
I ~ -1 and I ~ 0.75
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Respuesta :

MrRoyal

The approximate solution of the system of equations is x = 0.75

How to determine the approximate solutions?

The functions are given as:

f(x) = x^4 + 9x^2 - 3

g(x) = (1/2)^x - 2

Calculate the values of the function from -1 to 1

x             f(x)      g(x)

-1            7          8

-0.75    2.38   6.72

-0.5   -0.69     5.66

-0.25  -2.43   4.76

0          -3       4

0.25    2.43   3.36

0.5      -0.69   2.83

0.75    2.38   2.38

1          7        2

From the above table, we have:

f(0.75) = g(0.75) = 2.38

Hence, the approximate solution of the system of equations is x = 0.75

Read more about system of equations at:

https://brainly.com/question/12895249

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