If f(x) = 2x + 1 and
g(x) = -(x - 1)² + 3 what is the smallest solution for f(x)=g(x)?

The smallest solution is x=-1

Step-by-step explanation:

Quadratic Equation

We have:

We'll find the solutions of f(x)=g(x), or:

Operating:

Rearranging all terms on the left side:

Simplifying:

Since the term with the x is missing, we can solve for x:

There are two solutions:

x=1, x=-1

The smallest solution is x=-1

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