How does AskSia find the domain of a function?
AskSia identifies every restriction on x: denominators that can't be zero (x ≠ ...), even roots that require non-negative inputs (the expression under the root must be ≥ 0), logarithms that require positive inputs, and any combination of these. Each restriction is solved as a separate inequality, the results are intersected, and the domain is given in interval notation and set-builder notation. The excluded points are marked on the graph with open circles or vertical asymptotes.
How does AskSia compute the inverse of a function?
AskSia uses the swap-and-solve method: replace f(x) with y, swap x and y, then solve for y to get f-inverse(x). AskSia shows every algebra step in the solve-for-y part, then verifies the result by composing: showing that (f composed with f-inverse)(x) = x and (f-inverse composed with f)(x) = x. The original and inverse functions are graphed together, reflected across the line y = x, which is the visual signature of inverse functions.
Can AskSia compose two functions?
Yes. To find (f composed with g)(x), AskSia substitutes g(x) into f wherever x appears, then simplifies. The substitution is shown explicitly so you can see how the inner function flows into the outer. AskSia notes whether (f composed with g) equals (g composed with f) for the specific functions (it usually doesn't, since function composition is not generally commutative), with a counterexample value to confirm.
Does AskSia handle piecewise functions?
Yes. Piecewise functions are handled with each piece evaluated and graphed on its own interval. For f(x) defined as one expression on x < 0 and another on x ≥ 0, AskSia computes domain, range, continuity, and any transformations piece-by-piece, then combines. Open and closed circles are placed correctly at the boundary points based on whether the inequality is strict, which matters for continuity questions on AP exams.
How accurate is AskSia?
AskSia hits 98% accuracy on standard high school and college coursework, measurably higher than ChatGPT, Photomath, and Symbolab on the same problem sets. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.