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sergij07 [2.7K]
3 years ago
14

I need to know 3b. It ask to find the inverse of Numliters and call it temp

Mathematics
1 answer:
stepan [7]3 years ago
6 0
To find the inverse "relation" of any equation, simply do a switcharoo on the variables, now, if the resulting inverse "relation" happens to be a function, as the "vertical line test" has it, then is also an "inverse function" and as 3a said it, yes, only one-to-one functions have inverse functions

so let's see Numliters(t) then

\bf Numliters(t)=\boxed{y}=354+8(\boxed{t}-62)
\\\\\\
inverse\implies \boxed{t}=354+8(\boxed{y}-62)
\\\\\\
\textit{and now, let's solve for "y"}
\\\\\\
t-354=8(y-62)\implies \cfrac{t-354}{8}=y-62
\\\\\\
\cfrac{t-354}{8}+62=y=f^{-1}(t)
\\\\\\
\textit{now, you're asked to call it "temp"}
\\\\\\
\cfrac{t-354}{8}+62=Temp(t)

now, name wise, heck, you can call it whatever you want, even spaghetti

\bf \cfrac{t-354}{8}+62=spaghetti(t)

anyhow...that's the inverse function

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