Given f:R-R with f(x)=x²-16/x-4 Use this information to answer the fo

1.	Given f:R-R with f(x)=x²-16/x-4 Use this information to answer the following questions Domain of f(x) is?Evaluation limx-4f(x)f(x) is continuous at x=4 provided f(4)=?
Answer» f : ℝ → ℝ with f(x) \(=\frac{x^2-16}{x-4}=\frac{(x-4)(x+4)}{x-4}\) = x+4 (i) ∴ Domain of function f(x) is ℝ-{4} (ii) \(\underset{x\rightarrow4}{lim}\)f(x) \(=\underset{x\rightarrow4}{lim}\)(x+4) = 4+4 = 8 (iii) f(x) is continuous at x = 4 provided f(4) = 8.

Given f:R-R with f(x)=x²-16/x-4 Use this information to answer the following questions Domain of f(x) is?Evaluation limx-4f(x)f(x) is continuous at x=4 provided f(4)=?

Answer»

f : ℝ → ℝ with f(x) \(=\frac{x^2-16}{x-4}=\frac{(x-4)(x+4)}{x-4}\) = x+4

(i) ∴ Domain of function f(x) is ℝ-{4}

(ii) \(\underset{x\rightarrow4}{lim}\)f(x) \(=\underset{x\rightarrow4}{lim}\)(x+4) = 4+4 = 8

(iii) f(x) is continuous at x = 4 provided f(4) = 8.

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Given f:R-R with f(x)=x²-16/x-4 Use this information to answer the following questions Domain of f(x) is?Evaluation limx-4f(x)f(x) is continuous at x=4 provided f(4)=?

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