Find the domain of the composite function f(x)x^2+2-g(x)-sqrtx-1 2-Te.docx

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Find the domain of the composite function f(x)x^2+2;g(x)=sqrtx-1 2.Â Â Temperature Conversion The functionÂ Â f(c) 9/5 c+32 CCF converts a temperature from C degrees Celsius to F degrees Fahrenheit. (a) Express the temperature in degrees Celsius C as a function of the temperature in degrees Fahrenheit F.Â Â (b) What is the temperature in degrees Celsius if it is 70 degrees Fahrenheit? Solution 1.f(x)=x^2+2 Its domain is the entire real plane g(x)=sqrt(x-1) Therefore for the function to be valid x-1>=0 or x>=1 is the domain of the function 2.Clearly from the given equn we get C/5=(F-32)/9 or,C=(5/9)*(F-32) If F=70 Therefore C=21.11 degree celcius .

Find the domain of the composite function f(x)x^2+2;g(x)=sqrtx-1
2.Â Â Temperature Conversion The functionÂ Â f(c) 9/5 c+32 CCF converts a temperature from
C degrees Celsius to F degrees Fahrenheit. (a) Express the temperature in degrees Celsius C as a
function of the temperature in degrees Fahrenheit F.Â Â (b) What is the temperature in degrees
Celsius if it is 70 degrees Fahrenheit?
Solution
1.f(x)=x^2+2
Its domain is the entire real plane
g(x)=sqrt(x-1)
Therefore for the function to be valid x-1>=0
or x>=1 is the domain of the function
2.Clearly from the given equn we get
C/5=(F-32)/9
or,C=(5/9)*(F-32)
If F=70
Therefore C=21.11 degree celcius

Find the domain of the composite function f(x)x^2+2-g(x)-sqrtx-1 2-Te.docx

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