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# 1.7(two) - W230 4 Determine domains for composite functions...

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Unformatted text preview: W230 4. Determine domains for composite functions. \$15 E; I; 1. ﬁx) must be éefined so any J: not in the domain of g must be excluded. 2. f(g(x)) must, be defined so any x for which g(x} is not in the domain off must be exeinded. Example: f(x) =—x2 +3x—4al’ld g(x) =2—x , ﬁnd (f o.g_)(3g) and determine its domain.- H [50 4(‘nd - 5. Write functions as compositions. Examgles: Express h(x) as a composition of two functions: 1 l h = , - “- 00 928—64 l0“) ' X it Calm) 9w: We , ~ 1 ,_ KL... M if? (goo) , *[GX—HUF) .— (MAW ﬁx) =4—x and g(x)=x2 —2x+5, ﬁnd all values of x that satisfy (fog)(x) :4. Walt“: am it; we __LT ._ —)(—H2_X-"l EL}. : FXl-l—prl L X—zx-l—Pﬁ :0 ﬁﬁﬂﬁzzo 5w” ﬂy“; »H\a_ CLG'YVIc-lth {E M X X: “'73 X ): Bel—- ): ———— 0‘ \$06 Ht), 5 x Ex!X\$®,ﬁ%i§ _g:_§, X 2 o‘lX—X — 3 2 3X +2x —3X—3 ‘ &X_ [ R” 3 1% l ZXCXHJ’BPV’H) (K+I)éK'—5 ) ...
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1.7(two) - W230 4 Determine domains for composite functions...

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