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artcher [175]
2 years ago
14

What is the inverse of the function f(x) = 1/9x+ 2?

Mathematics
1 answer:
hichkok12 [17]2 years ago
4 0

Answer:

f^{-1}(x) = 9x -18.

Step-by-step explanation:

y=f(x)=\dfrac 19 x +2\\\\\text{Replace x with y and then solve for y,}\\\\~~~~~~~x = \dfrac 19 y+2\\\\\implies 9x =y + 18~~~~~~~~~~~~~~~;[\text{Multiply both sides by 9}]\\ \\\implies y = 9x -18\\\\\implies f^{-1}(x) = 9x -18\\\\\text{Hence, the inverse of the given function is}~  f^{-1}(x) = 9x -18.

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Alexxandr [17]
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a²+b²=c²
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3 years ago
Round 963 to 1 significant figure.
dedylja [7]
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This is because 9 is the first non-zero number and so since there are only going to be 1 significant figures, the 9 would round up or down. There is a 6 after the 9, so it rounds up to 10, making it 1000.
7 0
3 years ago
Are the functions f(x) = (x^2-1)/(x-1) and g(x)= x+1 equal for all x?
Vinvika [58]
\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
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\bf f(x)=\cfrac{x^2-1}{x-1}\implies f(x)=\cfrac{x^2-1^2}{x-1}\implies f(x)=\cfrac{(\underline{x-1})(x+1)}{\underline{x-1}}
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f(x)=x+1\qquad \qquad \qquad  \qquad  \qquad  g(x)=x+1\\\\
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\textit{they're, kinda, except that, when x = 1}
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g(x)=(1)+1\implies g(x)=2
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3 years ago
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sergij07 [2.7K]

Answer:

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Step-by-step explanation:

Because there is a 3 outside the symbol.

That means the equation is stating: y * y * y = x

Hope this helps :)

7 0
3 years ago
In the past month, Amy rented 7 video games and 4 DVDs. The rental price for each video game was $3.30. The rental price for eac
Lera25 [3.4K]

Answer:

$39.90

Step-by-step explanation:

if each video game cost $3.30, and she rented 7, then you multiply $3.30 by 7, to get $21.10, and if each DVD was $4.20, and she rented 4, then its $4.20x4= $16.80

after that you just add the two total costs together, which is $23.10+$16.80=$39.90

8 0
3 years ago
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