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Rashid [163]
3 years ago
5

The function f(x) = 9x +5 is one-to-one. Find an equation for f-'(x), the inverse function.

Mathematics
1 answer:
Gnesinka [82]3 years ago
8 0

Answer:

The inverse function is f^{-1}(x) = \frac{x - 5}{9}

Step-by-step explanation:

Inverse function:

Suppose we have a one-to-one function y = f(x). To find it's inverse, we exchange y and x, and then isolate y.

In this question:

y = 9x + 5

Exchanging x and y:

x = 9y + 5

Isolating y:

9y = x - 5

y = \frac{x - 5}{9}

f^{-1}(x) = \frac{x - 5}{9}

The inverse function is f^{-1}(x) = \frac{x - 5}{9}

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Step-by-step explanation:

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(1/12) / (20/60) = 1/4 inches/ hour

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(1/6) / (30/ 60) = 1/3 inches/ hour

hope it helps!

4 0
3 years ago
What are some values to make -2x&gt; 10 true ?<br> Please help ASAP!
steposvetlana [31]

Answer:

-6 -7 -8 -9 -10

Step-by-step explanation:

anything that keeps going from there dont do anything like -5 -4 -3 -2 -1 because it would be wrong

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7 0
3 years ago
if two girls have 280 dollars and one spends 2/3 of it and has 36 dollars left. how much does the other girl have left if she sp
My name is Ann [436]

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4 0
3 years ago
2(8r+5)-3=4(4r-1)+11 is it an only solution or a no solution or infinite solution
pogonyaev

Answer:

Infinitely many solutions.

Step-by-step explanation:

Let's begin by carrying out the indicated multiplications, which must be done before any addition or subtraction:

2(8r+5)-3=4(4r-1)+11  becomes  16r + 10 - 3 = 16r - 4 + 11.

Subtracting 16r from both sides, we get 10 - 3 = - 4 + 11, or 7 = 7

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3 0
3 years ago
Just take a look at the picture and say the answer no explaining
alexdok [17]

Answer:

16-25

Step-by-step explanation:

5 0
3 years ago
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