Serial no 32
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Serial No: 32. The family of the f(x)=log x ½ . f(x) = log x ½. y. x. 1. y. g(x)=f(x)+1 = log x + 1 ½. x. 2. g(x)=f(x)-1 = log x - 1 ½ . y. x. 1/2. g(x)=f(cx) = log cx ; c=2 ½ . y. x. 1/2. y.

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The family of the f x log x

The family of the f(x)=log x ½


F x log x
f(x) = log x ½

y

x

1


Serial no 32

y

g(x)=f(x)+1= log x + 1½

x

2


Serial no 32

g(x)=f(x)-1 = log x - 1 ½

y

x

1/2


G x f cx log cx c 2
g(x)=f(cx) = log cx ; c=2 ½

y

x

1/2


Serial no 32

y

y=cf(x) = clog x ; c=2 ½

2

x

1

1/2


Serial no 32

g(x)=f(x-1) = log (x-1) ½

X=1

2


Serial no 32

y=f(x+1) = log (x+1)½

X=-1


G x f x log x
g(x) =f(-x) = log( - x) ½

y

x

-1


G x f x log x1
g(x) =-f(x)= - log x ½

y

x

1