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Algebra

Function Composition Calculator

Evaluate the composite function (f∘g)(x) = f(g(x)) for linear, quadratic, exponential, or logarithmic f and linear g at any x value. Use it to check composition homework or explore how nested functions behave.

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Algebra

2x2 System of Equations Solver

Solve a 2×2 system of linear equations in the form a₁x + b₁y = c₁ and a₂x + b₂y = c₂ using Cramer's rule. Returns the x-coordinate of the intersection of the two lines; foundational for any problem with two unknowns and two constraints.

Fill in the required fields to see your result.

Key differences

Function Composition Calculator2x2 System of Equations Solver
CategoryAlgebraAlgebra
Inputs required66
Result(f∘g)(x) ValueSolution for x
What it doesEvaluate the composite function (f∘g)(x) = f(g(x)) for linear, quadratic, exponential, or logarithmic f and linear g at any x value. Use it to check composition homework or explore how nested functions behave.Solve a 2×2 system of linear equations in the form a₁x + b₁y = c₁ and a₂x + b₂y = c₂ using Cramer's rule. Returns the x-coordinate of the intersection of the two lines; foundational for any problem with two unknowns and two constraints.