mac1147_lecture12_1_c

mac1147_lecture12_1_c - L12 Operations on Functions;...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
119 L12 Operations on Functions; Graphs, Properties, and Library of Functions If f and g are two functions, then the sum fg + is a function defined by ( ) () x f x g x + =+ the difference is the function defined by ( ) x f x g x =− the product is the function defined by ( ) () () fgx f x g x =⋅ . The domain of each + , , or consists of all x that are in the domains of both f and g . The quotient f g is the function defined by ff x x gg x ⎛⎞ = ⎜⎟ ⎝⎠ . The domain of f g consists of all x that are in the domains of both f and g , for which () 0 gx .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
120 Example . Given 3 () 1 x fx x = + and ( ) ( 1) gx xx = + . Find each of the following and give the domain where it is appropriate. ( ) fg x = ( 1 ) fg f x g ⎛⎞ = ⎜⎟ ⎝⎠
Background image of page 2
121 Graph The graph of a relation in x and y is the set of all points in the xy -plane that correspond to the ordered pairs ( , ) x y . If a relation is a function, then for every x in the domain there is only one y , ( ) yf x = , in the range. With respect to the graph of a function it means that a vertical line x a = intersects the graph at one point (, () ) afa if a is in the domain of f , otherwise, x a = does not intersect the graph at all.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 13

mac1147_lecture12_1_c - L12 Operations on Functions;...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online