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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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Vera_Pavlovna [14]
F(m) = 2.5 + 0.12m

if Natalie paid $6.82

6.82 = 2.5 + 0.12m
0.12m = 6.82 - 2.5
0.12m = 4.32
m = 4.32 ÷ 0.12
m = 36

The call was 36 minutes long.
5 0
3 years ago
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE
Furkat [3]

Answer:

x = -6 and x = 4

Step-by-step explanation:

In math, the critical points of a function are the points where the derivative equals zero.

So, first we will find the derivative of the function. The derivative is:

f'(x)=3x^2 +6x-72

Now, we are going to make the derivative equal zero and find the answers of the equation.

3x^2 +6x-72=0\\3(x^2 +2x-24)=0\\3(x+6)(x-4)=0\\

So we have that the critical points are the answers to this equation:

x+6= 0 \\x= - 6

and

x-4=0\\x=4

Thus, the critical points are x=-6 and x=4

8 0
3 years ago
Jessica buys a lamp that costs $35 and a table that costs $75.00. If the tax rate is 10%, what will be the total cost of the lam
shepuryov [24]
Hello there!

75 + 35 = 110

110 x 10% = 0.1

110 x 0.1 = 11 ( the 11 is your tax )

75 + 35 = 110

110 + 11 = 121

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Hope this helped!
3 0
3 years ago
Identify the vertex of y = x2 + 4x + 5.
Xelga [282]
ANSWER

The vertex is (-2,1)

EXPLANATION

We want to find the vertex of

y = {x}^{2} + 4x + 5

We complete the square to obtain,

y = {x}^{2} + 4x + {(2})^{2} - {(2})^{2} + 5

The first three terms forms a perfect square trinomial.

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The vertex form is

y = {(x + 2})^{2} + 1


This equation is in the form;

y = a{(x -h})^{2} + k


where (h,k)=(-2,1) is the vertex.
4 0
3 years ago
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Answer:

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