Sums and Products of Functions (VCE SSCE Mathematical Methods): Flashcards

$(f + g)(x) = f(x) + g(x)$

$(fg)(x) = f(x) \cdot g(x)$

Intersection of $\text{dom } f$ and $\text{dom } g$

The $y$-value of a point on a graph

Add $y$-values of two functions at each $x$ to sketch their sum

$(f + g)(x) = g(x)$

Above both individual graphs

Below both individual graphs

Between the two graphs: $g(x) < (f + g)(x) < f(x)$

Where $f(x) + g(x) = 0$