F(x)=(2x-3)

Here are the key properties of f(x) = 2x − 3 (a linear function): - Domain: all real numbers - Range: all real numbers - Slope: 2 - y-intercept: (0, −3) - x-intercept: x = 3/2 (point (3/2, 0)) - Derivative: f'(x) = 2 - Second derivative: f''(x) = 0 - Inverse function: f^(-1)(x) = (x + 3)/2 - Composition: f(f(x)) = 4x − 9 - Graph: a straight line with slope 2 crossing the y-axis at −3 Some quick tasks you might want: - Solve f(x) = c: x = (c + 3)/2 - Find the tangent line at any x0: since the slope is constant, the tangent line is the line itself, y = 2x − 3 - If you want a specific problem (e.g., intercepts for a graph, inverse at a value, or a graph sketch), tell me and I’ll work it out.