Composite Function Calculator
Value of the combination at x
11
Function Composition Calculator
Combined function
2 * x^2 + 3
Operation
(f ∘ g)(x) = f(g(x))
f(x)
7
g(x)
4
Inner function value
4
f∘g equals g∘f at this point
no
Worked out from Stewart, Redlin & Watson, Precalculus: Mathematics for Calculus, section on combining functions and composition and 1 other source.
How this is worked out
3 steps
- Substitute g into f: f(g(x)) = 2 * x^2 + 3.
- g(2) = 4.
- f(4) = 11.
Sample tabletable
| x | y |
|---|---|
| -2 | 11 |
| -1 | 5 |
| 0 | 3 |
| 1 | 5 |
| 2 | 11 |
| 3 | 21 |
| 4 | 35 |
Results are general information, not financial, tax, legal, medical or engineering advice.