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ALGEBRA / FUNCTIONS

Function Calculator for Evaluation, Value Tables, Zeros and Function Composition

Updated By Unit Conversion Plus

Evaluate functions, generate a table, estimate real zeros, or calculate a composition such as f(g(x)).

Define the function

Use x, numbers, parentheses and + − * / ^. Supported functions: sqrt, abs, ln, log, exp, sin, cos and tan. Write multiplication explicitly, for example 2*x.

Evaluating and composing functions

Evaluating f(x) means replacing every x with the chosen input. Composition feeds the output of one function into another: f(g(x)) first calculates g(x), then uses that value as the input to f.

Function tables and domains

A value table helps reveal how outputs change across a chosen interval. A blank result marks an input where the expression is not a finite real number, such as division by zero, the square root of a negative number or the logarithm of a nonpositive number.

Estimated zeros

The zero finder scans the selected interval for sign changes and refines them by bisection. It is a numerical aid: an even-multiplicity root that merely touches the x-axis may not create a sign change and can be missed.

Frequently asked questions

What is the difference between f(g(x)) and g(f(x))?

The order controls which function runs first, so the two compositions generally produce different results.

Why is a table value undefined?

The entered x may be outside the real domain, or the calculation may overflow to a nonfinite value.