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Find k if fof(k)=4 where f(k)=3k-2....

Find `k` if `fof(k)=4` where `f(k)=3k-2`.

Text Solution

Verified by Experts

The correct Answer is:
`ararrr;brarrs;crarrp;drarrq`
(a) From the graph x=1 is point of maxima

(b) f(x)=`{{:(x-1,xlt2),(0,x=2),(sinx,xgt2):}`
`f(2)=0f(2+)=sin(2+)gt0 and f(2-)gt0`
hence x=2 is point of minima
(d) `f(X)= {{:(2x+3,xlt2),5,x=0),(x^(2)+7,xgt0)`
f(0)=3f(0)=5f(0)=7
hence `f(0)ltf(0)ltf(0)`
Thus f(x) is increasing at x=0
(d) f(x)=`{{:(e^(-x),xlt0),(0,x=0),(-cosx,xgt0):}`
`f(0)=0,f(0)=-1,f(0)=1`
Thus `f(0)gtf(0)gtf(0)`
hence f(x) is decreases at x=0
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