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  • 15-11-2020
  • Mathematics
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Use f(x)=5-x and g(x)=1/x-2 to find the following and identify its domain

Use fx5x and gx1x2 to find the following and identify its domain class=

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xenia168
xenia168 xenia168
  • 15-11-2020

Answer:

Step-by-step explanation:

f(x) = 5 - x

g(x) = [tex]\frac{1}{x-2}[/tex]  (x ≠ 2)

(a). f(g(x)) = 5 - [tex]\frac{1}{x-2}[/tex]  

f(g(x)) = [tex]\frac{5x-11}{x-2}[/tex]

Domain: x ≠ 2 or ( - ∞ , 2 ) ∪ ( 2 , ∞ )

(b). g(f(x)) = [tex]\frac{1}{3-x}[/tex]

Domain: x ≠ 3 or ( - ∞ , 3 ) ∪ ( 3 , ∞ )

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