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Find the Values Of K So that the Function F Is Continuous at the Indicated Point. F(X) = {(Kx + 1, If X <= 5),(3x - 5, If X > 5) at X = 5 - Mathematics

Find the values of so that the function f is continuous at the indicated point.

`f(x) = {(kx + 1, "," if x <= 5),(3x - 5, "," if x > 5):} " at x " = 5`

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Solution

The given function f  `f(x) = {(kx + 1, "," if x <= 5),(3x - 5, "," if x > 5):}`

The given function f is continuous at x = 5, if f is defined at x = 5 and if the value of fat x = 5 equals the limit of f at x = 5

It is evident that is defined at x = 5 and `f(x ) = kx + 1 = 5k + 1`

Therefore, the required value of k is `9/5`

  Is there an error in this question or solution?
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APPEARS IN

NCERT Class 12 Maths
Chapter 5 Continuity and Differentiability
Q 29 | Page 161
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