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Question

If f(x)=x2−3x+4 and f(x)=f(2x+1), the value of x is

A
-1 or 2/3
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B
1 or-2/3
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C
-1 or 3/2
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D
1 or -3/2
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Solution

The correct option is A -1 or 2/3
From given, we have,

f(x)=f(2x+1)

x23x+4=(2x+1)23(2x+1)+4

x23x+4=4x2+4x+16x3+4

x23x+4=4x22x+2

3x2x+2=0

x=(1)±(1)24(3)22(3)

x1=(1)+(1)24(3)22(3)=1

x2=(1)(1)24(3)22(3)=23

x=1,23

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