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The logarithmic function j(x) is defined as j(x)=log(x+5)−1. The graph below shows the logarithmic function k(x).
Which statement about the two functions is true?

A
Both functions have the same vertical asymptote.

B
Both functions have a domain of all real numbers.

C
The x-intercept of k(x) is greater than the x-intercept of j(x).

D
Function j(x) is greater than function k(x) for all values of x.

The Logarithmic Function Jx Is Defined As Jxlogx51 The Graph Below Shows The Logarithmic Function Kx Which Statement About The Two Functions Is True A Both Func class=

Sagot :

The correct statement regarding the logarithmic functions is:

C The x-intercept of k(x) is greater than the x-intercept of j(x).

What is the domain of a logarithmic function?

A composite logarithmic function f(x) = log(g(x)) has the domain of g(x) > 0.

What are the vertical asymptotes of the logarithmic functions?

For the function j(x), we have that it is at:

x + 5 = 0

x = -5.

For the function k(x), we have that it is at x = 5 from the graph.

What are the x-intercepts of the functions?

For the function j(x), we have that:

log(x + 5) - 1 = 0

log(x + 5) = 1

10^[log(x + 5)] = 10^1

x + 5 = 1

x = -4.

For k(x), from the graph, it is at x = 6, hence option C is correct.

More can be learned about logarithmic functions at https://brainly.com/question/13473114

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