Identify the x-intercept of the function $f ( x ) = 4 \ln ( x - 2 )$ .
A) $x = 2$
B) $x = 4$
C) $x = 0$
D) $x = 3$
E)The function has no x-intercept.

Name: Identify the x-intercept of the function $f ( x ) = 4 \ln ( x - 2 )$ . A) $x = 2$ B) $x = 4$ C) $x = 0$ D) $x = 3$ E)The function has no x-intercept.
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Question

Quizplus · Accepted Answer

The x-intercept occurs when $f(x) = 0$. Setting $4 \ln(x - 2) = 0$ gives $\ln(x - 2) = 0$, which implies $x - 2 = 1$. Solving for $x$ gives $x = 3$.

Identify the X-Intercept of the Function f(x)=4ln⁡(x−2)f ( x ) = 4 \ln ( x - 2 )f(x)=4ln(x−2)

Identify the X-Intercept of the Function $f ( x ) = 4 \ln ( x - 2 )$