Precalculus - Section 2.6: Combining Functions

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

Given two functions f and g, we define the new function f + g by __________

f(x) + g(x) w/domain A ∩ B

Let f and g be functions with domains A and B. Then the function (f + g)(x) = ______

Both g(x) and f(g(x)) are defined

(f ° g)(x) is defined whenever... (use ° symbol)

(f°g)(x) = f(g(x))

Given two functions f and g, the composite function f ° g (also called the composition of f and g), is defined by... (use ° symbol)

(f ° g ° h)(x) = f(g(h(x)))

It is possible to take the composition of three or more functions. For instance, the composite function f ° g ° h is found by... (use ° symbol)

f(x) - g(x) w/domain A ∩ B

Let f and g be functions with domains A and B. Then the function (f - g)(x) = ______

f(x)/g(x) w/domain A ∩ B & != 0 (not equal to 0)

Let f and g be functions with domains A and B. Then the function (f/g)(x) = ______

f(x) * g(x) w/domain A ∩ B

Let f and g be functions with domains A and B. Then the function (fg)(x) = ______

Add corresponding y-coordinates.

The graph of the function f + g can be obtained from the graphs of f and g by graphical addition, meaning that we...

Sum of the functions f and g

The new function f + g is called...

f(x) + g(x)

The value of f + g at x is...