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Sedaia [141]
3 years ago
7

Write the inverse of the rational function f(x)=15x +50 over x+5

Mathematics
1 answer:
Whitepunk [10]3 years ago
5 0
F(x) = 15x + 50/x + 5
y = 15x + 50/x + 5
x = 15y + 50/y + 5
x(y + 5) = 15y + 50
xy + 5x = 15y + 50
5x - 50 = 15y - xy
5x - 50 = y(15 - x)
y = 5x - 50/15 - x

SO

The inverse of f(x) = 5x - 50 over 15 - x
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1
VashaNatasha [74]

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 and c = - 2 , then

y = - 2x - 2 ← is the equation of the line

To find the x- intercept let y = 0 in the equation and solve for x , that is

- 2x - 2 = 0 ( add 2 to both sides )

- 2x = 2 ( divide both sides by - 2 )

x = - 1

The x- intercept is - 1 → B

5 0
3 years ago
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MaRussiya [10]
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8 0
3 years ago
Write each of the following expressions without using absolute value. |z−6|−|z−5|, if z&lt;5
Andre45 [30]

Answer: 6 - 5

<u>Step-by-step explanation:</u>

|z - 6| - |z - 5|    ; z < 5

Since z < 5, then

|z - 6| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:

-(z - 6) =  -z + 6

|z - 5| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:  

-(z - 5) = -z + 5

Now subtract them without the absolute value signs:

-z + 6 - (-z + 5)

Distribute the negative sign:

-z + 6 + z - 5

-z + z = 0 which leaves:

6 - 5

3 0
4 years ago
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7 0
4 years ago
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d1i1m1o1n [39]
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4 0
3 years ago
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