If f(x)=≤ft({x²-4}{x-2}), then f(2) is

Correct Answer is : not defined

Correct Answer is : not defined

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Sets, Relations and Functions

Question : 58 of 65

Marks: +1, -0

f(x)=\left(\frac{x^{2}-4}{x-2}\right)

f(2)

Solution:

Concept:

f(2)

is not defined because the denominator becomes zero at

x=2

Explanation:

The function

f(x)=\frac{x^{2}-4}{x-2}

is defined only for

x \neq 2

x=2

, the denominator

x-2 = 0

, so

f(2)

is undefined.

Although the expression simplifies to

x+2

for

x \neq 2

, the original function is not defined at

x=2

Answer:

f(2)

is not defined.

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