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Romashka-Z-Leto [24]
3 years ago
8

What is the inverse of the function g(x)=7x+3/x-5?

Mathematics
1 answer:
Ad libitum [116K]3 years ago
8 0

Answer:

g(x) = (5x + 3)/ x - 7

Step-by-step explanation:

Let g(x) = y

y = (7x + 3)/x - 5

Make x the subject

xy - 5y = 7x + 3

xy - 7x = 5y + 3

x(y - 7) = 5y + 3

x = (5y + 3)/ y - 7

Therefore, the inverse of the function = (5x + 3)/ x - 7

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Bra9inly pls help me on this question
kvv77 [185]

Step-by-step explanation:

area of the trapezoid = area of the 2 triangles +

area of the rectangle

i) area of triangle on left:

a = ½ bh

a = ½ × 2 × 9

a = 9 in²

ii) area of triangle on right:

a = ½ bh

a = ½ × 2 × 9

a = 9 in²

iii) area of rectangle = length × width

a = l × w

a = 12 × 9

a = 108 in²

iv) area of trapezoid = 9 + 9 + 108

= 126 in²

hope this helps you!

-s.

7 0
2 years ago
What is the 75th term of the arithmetic sequence -1, 5, 11
lana [24]

Answer:

75th term = 443

Step-by-step explanation:

a_{n}=a_{1}+d(n-1) \\a_{n}=-1+6(n-1) \\a_{75}=-1+6(75-1) \\a_{75}=-1+6(74)\\a_{75}=-1+444\\a_{75}=443 \\\\

7 0
3 years ago
What is the cube root of -729a^9b^6?<br> -9a^3b^2<br> -9a^2b^<br> -8a^3b^2<br> -8a^2b^3
timurjin [86]

Answer:

= 9a^3b^2

Step-by-step explanation:

\sqrt[3]{-729a^9b^6} =

= ((-9)^3a^9b^6)^{\frac{1}{3}

= (-9)^{3 \times \frac{1}{3}} \times a^{9 \times \frac{1}{3}} \times b^{6 \times \frac{1}{3}}

= (-9)^{1} \times a^{3} \times b^{2}

= -9a^3b^2

7 0
2 years ago
Which property is demonstrated by following statement 16+(22+a)=16+(a+22)
beks73 [17]

commutative property

3 0
3 years ago
a hot air balloon is at an altitude of 240 feet. the balloon descends at 30 feet per minute. what equation gives the altitude y,
Rina8888 [55]
To solve this problem you must follow the steps below:

1. The problem says that:

 - The<span> hot air balloon is at an altitude of 240 feet.
 - It descends at 30 feet per minute.

 2. Therefore, you have:

 x: the time in minutes.
 y: the altitute in feet.

 3. Keeping all this information on mind, you can write the following equation:

 y=240-30x

 4. Therefore, as you can see, the answer is:
</span>
 y=240-30x
6 0
3 years ago
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