\left[x \right] = \left[ 0\right][x]=[0]
Check the Wronskian determinant:
The determinant is not zero, so the solutions are indeed linearly independent.
The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.
<h3>
What can we say about the x-intercepts of the given functions?</h3>
For a function f(x), the x-intercept is the value of x such that:
f(x) = 0.
Here we have:
p(x) = log₂(x - 1)
Remember that:
logₙ(1) = 0
For any base n, then the x-intercept of p(x) is x = 2, because:
p(2) = log₂(2 - 1) = log₂(1) = 0.
The other function is:
g(x) = 2ˣ - 1
Remember that any number to the power of zero is equal to 1, then:
g(0) = 2⁰ - 1 = 1 - 1 = 0
The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.
If you want to learn more about x-intercepts:
brainly.com/question/3951754
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