f(x) =3x-2x

Simplify first:

• f(x) = 3x - 2x = (3-2)x = x, so f(x) = x.

Key facts:

• Domain: all real numbers
• Range: all real numbers
• Graph: a straight line with slope 1 through the origin (y = x)
• Slope m = 1, y-intercept b = 0
• Inverse: f⁻¹(x) = x
• Derivative: f'(x) = 1
• Indefinite integral: ∫ f(x) dx = x^2/2 + C
• Examples: f(5) = 5, f(-3) = -3

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