If f(x)=x2 + 2x +5, find x for which f(x)=f(2x+1).
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Answer:
f(2x+1) = 4x² + 4x + 8.
Step-by-step explanation:
Given,
f(x) = x²+2x+5
Now,
f(2x+1) = (2x+1)² + 2(2x+1) + 5
= (4x²+1) + (4x+2) + 5
= 4x² + 1 + 4x + 2 + 5
= 4x² + 4x + 8
f(2x+1) = 4x² + 4x + 8.
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