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If f(x) = x^2 - 3x + 4, then find the va...

If `f(x) = x^2 - 3x + 4`, then find the values of x satisfying the equation `f(x) = f(2x + 1)`.

Text Solution

Verified by Experts

The correct Answer is:
`x=-1orx=(2)/(3)`
`f(x)=f(2x+1)impliesx^(2)-3x+4=(2x+1)^(2)-3(2x+1)+4`
`impliesx^(2)-3x+4=4x^(2)-2x+2implies3x^(2)+x-2=0implies(x+1)(3x-2)=0`.
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