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Svetradugi [14.3K]
2 years ago
14

Let f(x) = x2 - 81. Find f-1(x).

Mathematics
1 answer:
dusya [7]2 years ago
7 0
This is equivalent to finding a function g in which g(x^2-81)=x.

We simply reverse the actions of the initial function by adding 81 back and taking the square root.  Therefore, f^{-1}(x)=\sqrt{x+81}.
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Step-by-step explanation:

Henry is making a corn grits recipe that calls for 1/4 cup of corn grits for every 1/2 cup of water. How much water will he need if he uses 1 1/2 cups of corn grits?

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2 years ago
Distance between (-4, -3) (2, 1)
VikaD [51]

Answer:

\Longrightarrow: \boxed{\sf{2\sqrt{13}}}

Step-by-step explanation:

<u>Question</u>:

  • Find the distance between (-4,-3) (2,1)

<u>To find:</u>

  • The distance between (-4,-3) (2,1).

Use the distance formula.

<u>Distance formula:</u>

\Longrightarrow: \sf{\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}

\sf{y_2=1}\\\\\sf{y_1=(-3)}\\\\\sf{x_2=2}\\\\\sf{x_1=(-4)}

\Longrightarrow: \sf{\sqrt{\left(2-\left(-4\right)\right)^2+\left(1-\left(-3\right)\right)^2}

Solve.

\Longrightarrow: \boxed{\sf{2\sqrt{13}}}

  • <u>Therefore, the final answer is 2√13.</u>

I hope this helps, let me know if you have any questions.

8 0
2 years ago
Read 2 more answers
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