recall that for inverse functions, <u>the range of the original is the domain of the inverse</u> and othe other way around.
so f⁻¹(8) is f⁻¹(x) but making x = 8, so the domain value in this case for the inverse is 8, and that's going to give us something, but let's nevermind that.
since the domain value is 8 for the inverse, that means, the same 8, is a range for the original f(x).
meaning, "some value of x" on the original, gives us a range of 8, then let's use that 8 in the original, BUT not on "x", but on "y", or f(x).
![\bf f^{-1}(8)~\hspace{7em}\stackrel{f(x)}{8}=2x+5 \\\\[-0.35em] ~\dotfill\\\\ 8=2x+5\implies 3=2x\implies \boxed{\cfrac{3}{2}=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{original f(x)}}{\left(\stackrel{x}{\frac{3}{2}}~~,~~\stackrel{y}{8} \right)}~\hspace{7em} \stackrel{\textit{inverse }f^{-1}(x)}{\left(\stackrel{x}{8}~~,~~\stackrel{y}{\frac{3}{2}} \right)}~\hfill f^{-1}(8)=\cfrac{3}{2}](https://tex.z-dn.net/?f=%5Cbf%20f%5E%7B-1%7D%288%29~%5Chspace%7B7em%7D%5Cstackrel%7Bf%28x%29%7D%7B8%7D%3D2x%2B5%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%208%3D2x%2B5%5Cimplies%203%3D2x%5Cimplies%20%5Cboxed%7B%5Ccfrac%7B3%7D%7B2%7D%3Dx%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Boriginal%20f%28x%29%7D%7D%7B%5Cleft%28%5Cstackrel%7Bx%7D%7B%5Cfrac%7B3%7D%7B2%7D%7D~~%2C~~%5Cstackrel%7By%7D%7B8%7D%20%5Cright%29%7D~%5Chspace%7B7em%7D%20%5Cstackrel%7B%5Ctextit%7Binverse%20%7Df%5E%7B-1%7D%28x%29%7D%7B%5Cleft%28%5Cstackrel%7Bx%7D%7B8%7D~~%2C~~%5Cstackrel%7By%7D%7B%5Cfrac%7B3%7D%7B2%7D%7D%20%5Cright%29%7D~%5Chfill%20f%5E%7B-1%7D%288%29%3D%5Ccfrac%7B3%7D%7B2%7D)
so notice how the values swap places for the inverses, one's domain, is the other's range.
You can just check every peach untill you sort them through so 50
Answer:
4 trips
Step-by-step explanation:
there are 892 bales of hay
each one weighs about 62.5 pounds
892 * 62.5 = 55,750
George's truck can only carry 8 tons
1 ton = 2,000 pounds
2,000 * 8 = 16,000 pounds
So,
55,750 / 16,000 = 3.484375
But since you can't make 3.484375 trips in a truck, round it up.
3.484375 rounded up equals 4
George has to take 4 trips
Group C ran more miles an individual.
Explanation: To find the number of miles per individual, you must subtract the total number of miles by the total number of people who ran those miles. Which ever answer is larger, tells us which group ran more miles an individual.
Here are the calculations-
Group C: 27/4=6.75
Group D: 39/6=6.5
As you can see, Group C ran more miles an individual than Group D.
Hope this Helped!
Answer:
B
Step-by-step explanation:
all sides are the same
