Concept explainers
a.
To find : The formula for c−1(x),where c(x)=59(x−32) and describe what is the use for this.
The inverse c−1(x)=95x+32 and it is used for find the fahreheit.
Given information:
The given function is c(x)=59(x−32).
Concept used:
Algebraically can find out the inverse, first replace x as y and y as x and then solve for y .
Calculations:
Here
c(x)=y=59(x−32).replace x and y.x=59(y−32).Solve for y.59y−59×32=x59y=x+59×32y=95x+32
So the inverse c−1(x)=95x+32 and it is used for find the fahreheit
b.
To find : koc(x),where c(x)=95x+32,k(x)=x+273.16and describe its use.
koc(x)=95(k(x)−273.16)+32 and it is using for conversion between fahrenheit and Kelvin,
Given information:
The given function c(x)=59(x−32),k(x)=x+273.16
Calculations:
Here
c(x)=95x+32k(x)=x+273.16x=k(x)−273.16Substitute x in c(x):c(x)=95(k(x)−273.16)+32
Hence koc(x)=95(k(x)−273.16)+32 and it is using for conversion between fahrenheit and Kelvin,
Chapter 1 Solutions
PRECALCULUS:GRAPHICAL,...-W/ACCESS
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