EXER
1. If f(x) = x2 – 3x + 4 and f(x) = f(2x + 1), find the values of x.
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Answer:
2/3 and -1 are the only two values of x
Step-by-step explanation:
f(x)=x²-3x+4
f(2x+1)=(2x+1)²-3(2x+1)+4
=4x²+1+4x-6x-3+4
=4x²-2x+2
f(x)=f(2x+1)
x²-3x+4=4x²-2x+2
3x²+x-2=0
3x²+3x-2x-2=0
3x(x+1)-2(x+1)=0
(3x-2)(x+1)=0
x=2/3 or x= -1
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