Find the values of k so that the function f is continuous at the indicated point in`f(x)={{:(k x+1, ifxlt=5),( 3x-5, ifx >5):}`at `x = 5`

Explanation

Givem that function is continuous at `x=5`

`f` is cont. at `x=5`

if LHL=RHL=`f(5)`

i.e. `lim_(xrarr5^-)f(x)=lim_(xrarr5^+)f(x)=f(5)`



LHL at `x->5`

`lim_(xrarr5^-)f(x)=lim_(hrarr0)f(5-h)`

`=lim_(hrarr0)k(5-h)+1`

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