9514 1404 393
Answer:
f^-1(x) = 4+∛((x-6)/5)
Step-by-step explanation:
To find the inverse function, solve ...
x = f(y)
then write the answer in functional form.
![\displaystyle x=f(y)\\\\x=5(y-4)^3+6\\\\x-6=5(y-4)^3\\\\\frac{x-6}{5}=(y-4)^3\\\\\sqrt[3]{\frac{x-6}{5}}=y-4\\\\y=4+\sqrt[3]{\frac{x-6}{5}}\\\\\boxed{f^{-1}(x)=4+\sqrt[3]{\frac{x-6}{5}}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3Df%28y%29%5C%5C%5C%5Cx%3D5%28y-4%29%5E3%2B6%5C%5C%5C%5Cx-6%3D5%28y-4%29%5E3%5C%5C%5C%5C%5Cfrac%7Bx-6%7D%7B5%7D%3D%28y-4%29%5E3%5C%5C%5C%5C%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%3Dy-4%5C%5C%5C%5Cy%3D4%2B%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%5C%5C%5C%5C%5Cboxed%7Bf%5E%7B-1%7D%28x%29%3D4%2B%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%7D)
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The graph shows the function and its inverse to be reflections of each other in the line y=x, as they should be.
Answer:
y=x+11
Step-by-step explanation:
Answer:
N= -44/9 Hope this helped, <3
Step-by-step explanation:
Let's solve your equation step-by-step.
n−2=10n+42
Step 1: Subtract 10n from both sides.
n−2−10n=10n+42−10n
−9n−2=42
Step 2: Add 2 to both sides.
−9n−2+2=42+2
−9n=44
Step 3: Divide both sides by -9.
Step-by-step explanation:
Lets translate this word problem into math.
"Latoya's annual salary is $26,000" = We start with the number 26,000
"A total of $7352.24 will be deducted for taxes and health insurance" = It's the number we started with "deducted" (minus) 7352.24
"She will receive her paycheck monthly in 12 equal installments" = Our number will be divided by 12
"How much will she get paid with each paycheck?" = "Find answer pls thx"
To put it all together...

Now all we have to do is solve!



Answer:
Latoya will get paid $1,553.98 with each paycheck.
Area of a triangle = 1/2 x base x height
Area = 1/2 x 8.7 x 8.6
Area = 37.41 square feet