Question

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

Answer 1

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