Select the correct answer from the given alternatives: f(x) = x2-7x+10x2+2x-8, for x ∈ [– 6, – 3] - Mathematics and Statistics

प्रश्न

Select the correct answer from the given alternatives:

f(x) = $\frac{x^{2} - 7 x + 10}{x^{2} + 2 x - 8}$ , for x ∈ [– 6, – 3]

विकल्प

f is discontinuous at x = 2
f is discontinuous at x = – 4
f is discontinuous at x = 0
is discontinuous at x = 2 and x = – 4

MCQ

उत्तर

f is discontinuous at x = – 4

Explanation;

f(x) = $\frac{x^{2} - 7 x + 10}{x^{2} + 2 x - 8}$ ; x ∈ [– 6, – 3]

= $\frac{x^{2} - 7 x + 10}{(x + 4) (x - 2)}$

Here f(x) is a rational function and is continuous everywhere except at the points Where the denominator becomes zero.
Here, denominator becomes zero when x = – 4 or x = 2
But x = 2 does not lie in the given interval
∴ x = – 4 is the point of discontinuity

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Continuous and Discontinuous Functions

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Q (I) (4)Q (I) (3)Q (I) (5)

अध्याय 8: Continuity - MISCELLANEOUS EXERCISE-8 [पृष्ठ १७६]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board

अध्याय 8 Continuity
MISCELLANEOUS EXERCISE-8 | Q (I) (4) | पृष्ठ १७६

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Select the correct answer from the given alternatives: f(x) = x2-7x+10x2+2x-8, for x ∈ [– 6, – 3] - Mathematics and Statistics

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Select the correct answer from the given alternatives: f(x) = x2-7x+10x2+2x-8, for x ∈ [– 6, – 3] - Mathematics and Statistics

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