Composite Function Calculator

Pick a form for f and a form for g from the same menu of ten standard shapes, linear through quadratic, root, reciprocal, exponential, logarithm, absolute value and the two trig forms, and give each one its coefficients. The tool writes f(x), g(x) and both composites with the inner function substituted, then evaluates f(g(x)) and g(f(x)) at a value of x or across a short range, showing the inner value first so the two steps are visible. Nothing is expanded or cancelled, because this page has no algebra system behind it and would rather show the honest substitution than a tidied answer it cannot guarantee. When a composite lands outside a domain, on a negative square root or a division by zero, it says so rather than printing a number.

Calculator Type
c is only used by the quadratic form; b is unused by the plain linear form only when you set it to zero.
The leading coefficient of f.
The second coefficient of f.
Only the quadratic form uses c.
c is only used by the quadratic form; b is unused by the plain linear form only when you set it to zero.
The leading coefficient of g.
The second coefficient of g.
Only the quadratic form uses c.
Widget
c is only used by the quadratic form; b is unused by the plain linear form only when you set it to zero.
The leading coefficient of f.
The second coefficient of f.
Only the quadratic form uses c.
c is only used by the quadratic form; b is unused by the plain linear form only when you set it to zero.
The leading coefficient of g.
The second coefficient of g.
Only the quadratic form uses c.
At most 11 rows are printed.
Widget
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