Question

Limits and continuity

Answer 1

If the function f is continuous everywhere and \[f(x)=\frac{ x ^{2}-16 }{ x-4 }\] when x does not equal 4, find the value of x

Answer 2

sorry, find the value of f(x)

Answer 3

Easy

Answer 4

Use difference of squares.

Answer 5

oh wait.. the answer is 8

Answer 6

\[f(x) = \frac{ x^2 - 16 }{ x-4 } = \frac{ (x+4)(x-4) }{ x-4 } = x+4\]