Which of the following functions are continuous for all real numbers? g(x)=ln(x) f(x)=(1)/(x) Choose 1 answer: A) g only (B) f only (C) Both g and f D Neither g nor f

Consider the domain: To determine if g(x) = ln(x) is continuous for all real numbers, we need to consider the domain of the natural logarithm function.Natural logarithm function: The natural logarithm function ln(x) is defined only for x > 0. Therefore, g(x) = ln(x) is not continuous for all real numbers because it is not defined for x ≤ 0.Consider the domain: To determine if f(x) = 1/x is continuous for all real numbers, we need to consider the domain of the reciprocal function.Reciprocal function: The function f(x) = 1/x is defined for all real numbers except x = 0, where the function has a vertical asymptote and is not defined.Neither g nor f: Since neither g(x) = ln(x) nor f(x) = 1/x is continuous for all real numbers, the correct answer is D) Neither g nor f.

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Which of the following functions are continuous for all real numbers?

g(x)=ln(x)

f(x)=(1)/(x)
Choose 1 answer:
A)
g only
(B)
f only
(C) Both
g and
f
D Neither
g nor
f

Which of the following functions are continuous for all real numbers? $\newline$ $g(x)=\ln (x)$ $\newline$ $f(x)=\frac{1}{x}$ $\newline$ Choose $1$ answer: $\newline$ A) $g$ only $\newline$ (B) $f$ only $\newline$ (C) Both $g$ and $f$ $\newline$ D Neither $g$ nor $f$

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Calculus

Intermediate Value Theorem

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Q. Which of the following functions are continuous for all real numbers?

\newline

g(x)=\ln (x)

\newline

f(x)=\frac{1}{x}

\newline

Choose

1

answer:

\newline

g

only

\newline

(B)

f

only

\newline

g

and

f

\newline

D Neither

g

nor

f

Consider the domain: To determine if $g(x) = \ln(x)$ is continuous for all real numbers, we need to consider the domain of the natural logarithm function.
Natural logarithm function: The natural logarithm function $\ln(x)$ is defined only for x > 0. Therefore, $g(x) = \ln(x)$ is not continuous for all real numbers because it is not defined for $x \leq 0$ .
Consider the domain: To determine if $f(x) = \frac{1}{x}$ is continuous for all real numbers, we need to consider the domain of the reciprocal function.
Reciprocal function: The function $f(x) = \frac{1}{x}$ is defined for all real numbers except $x = 0$ , where the function has a vertical asymptote and is not defined.
Neither g nor f: Since neither $g(x) = \ln(x)$ nor $f(x) = \frac{1}{x}$ is continuous for all real numbers, the correct answer is D) Neither $g$ nor $f$ .