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galben [10]
2 years ago
6

F(x)= x+28/x-7 for inverse functions

Mathematics
1 answer:
ioda2 years ago
8 0

The inverse function of the given function is \mathbf{= \dfrac{28+7x}{x-1}}

<h3>What is the inverse of a function?</h3>

A function g is the inverse of a function f, if and only if the values of y= f(x), x = g(y).

From the formula given:

\mathbf{y=f(x) = \dfrac{x+28}{x-7}}

Let's substitute x with y;

\mathbf{y= \dfrac{x+28}{x-7}}

\mathbf{x=\dfrac{y+28}{y-7}}

Solve for y;

\mathbf{= \dfrac{28+7x}{x-1}}

Learn more about solving inverse functions here:

brainly.com/question/3831584

#SPJ1

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Step by step to find the scientific notation for 1.3 x 10^9?
lakkis [162]

Answer:

117000000000

Step-by-step explanation:

117000000000

=1.17^11

or 1.17e+11

8 0
2 years ago
Factor with step by step explanation. n2+40-28
hjlf
N2+40-28=
Combine like terms
n2+40-28=n2+12
Factor out 2
n•2+12=2(n+6)
Therefore the answer is 2(n+6)
5 0
3 years ago
point P is located at (-2, 7), and point R is located at (1, 0). find the y value for the point Q that is located 2/3 the distan
natulia [17]

Answer: 7/3


Step-by-step explanation:

R-P= (3,-7). the displacement vector.

P+x(R-P) moves to x times distance between

P+(R-P) = R moves to 100% of the distance.

Q = P+2/3(R-P)

= (-2,7)+2/3(3,-7)

= (-2,7)+(2,-14/3)

= (0,7-14/3)

= (0,7/3)

= (0,2.3333...)

7 0
3 years ago
To describe a specific arith-
Bezzdna [24]

Answer:

f(x) = 7x + 30

Step-by-step explanation:

We need at least two points to write the equation of a straight line.

The recursive formula that Elijah wrote is:

f(0) = 30

f(n + 1) = f(n) + 7

When we substitute n=0, we get:

f(0 + 1) = f(0) + 7

f(1) = 30 + 7

f(1) = 37

The points (0,30) and (1,37) lies on this line.

The equation of this line is of the form:

f(x) = mx + b

where b =30 is the y-intercept and m=7 is the slope.

We plug in these values to get:

f(x) = 7x + 30

Note that the slope of the line is equal to the common difference of the Arithmetic Sequence.

You could also use the two points to find the slope:

m =  \frac{37 - 30}{1 - 0}  = 7

4 0
2 years ago
Me. Dietz is a teacher whose salary is $22,570 for this school year, which has 185 days. In Mr. Dietz school district, substitut
harina [27]

Answer:

School District pays $42 less to substitute teacher than Mr. Dietz.

Step-by-step explanation:

Given:

Salary of Mr. Dietz per year = $22570

Number of days in a year = 185 days.

Amount paid for Substitute teacher per day = $80

We need to find the Amount less paid to substitute teacher then Mr Dietz when Mr. Dietz takes a day off.

Solution:

First we will find the Amount paid for per day of Mr. Dietz.

Amount paid for per day of Mr. Dietz can be calculated by dividing Salary of Mr. Dietz per year with Number of days in a year.

framing in equation form we get;

Amount paid for per day of Mr. Dietz = \frac{22570}{185} = \$122

Now we will find Amount less paid to substitute teacher then Mr Dietz.

Amount less paid to substitute teacher then Mr Dietz  can be calculated by subtracting the Amount paid for Substitute teacher per day from Amount paid for per day of Mr. Dietz.

framing in equation form we get;

Amount paid for Substitute teacher per day = $122 - $80 = $42

Hence School District pays $42 less to substitute teacher than Mr. Dietz.

6 0
3 years ago
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