Question

Select the correct answer Consider functions p and q. p(x) = log₂ (x - 1) g(x) = 2^x - 1 Which statement is true about these functions?
A The x-intercept of function pis greater than the x-intercept of function q.

B. The x-intercept of function p is less than the x-intercept of function q.

C. The x-intercepts cannot be compared because either por q does not have an x-intercept.

D. The x-intercept of function p is the same as the x-intercept of function q.​

Answer 1

The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.

What can we say about the x-intercepts of the given functions?

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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