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Mnenie [13.5K]
3 years ago
13

What is the inverse of f(x)? show the work f(x)+3x+5

Mathematics
1 answer:
stealth61 [152]3 years ago
6 0

Answer:

f^-^1(x)=\frac{1}{3}x-\frac{5}{3}

Step-by-step explanation:

To solve for the inverse, we need to switch the variables and solve for y.

Note that f(x) is the same as y or in other words, the output.

f(x) = 3x + 5

y = 3x + 5

~Switch variables

x = 3y + 5

~Subtract 5 to both sides

x - 5 = 3y

~Divide 3 to everything

1/3x - 5/3 = y

~Flip

y = 1/3x - 5/3

Best of Luck!

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Using the Distance Formula, calculate the distance between the three points: (3 points)
AlladinOne [14]

The distance formula between two points is d∧2=(x2-x1)∧2 + (y2-y1)∧2

The distance between Vista and Oceanside is

d1∧2=(-1-(-6))∧2+(6-2)∧2=(-1+6)∧2+4∧2=5∧2+16=25+16=41 => d=√41= 6.4

The distance between Oceanside and Alpena is

d2∧2=(0-(-1))∧2+(-1-6)∧2=1+(-7)∧2=1+49=50 => d2=√50=7.07

The distance between Vista and Alpena is

d3∧2=(0-(-6))∧2+(-1-2)∧2=36+9=45 => d3=√45= 6.7

Answer a) is Oceanside and Alpena

Answer b) is Vista and Oceanside

Good luck!!!

4 0
3 years ago
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Give two ways to write the expression as a phrase 6+p
Otrada [13]
A number(p) plus six
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5 0
3 years ago
I need all help possible.
Leviafan [203]
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5 0
3 years ago
Solve the inequality and describe the solution set:<br> y-6 ≥ 12
Finger [1]
Y<span>≥18

You want to get the y only on one side of the equation. To get rid of the -6 you  have to add 6 to both sides to even out the equation.

y-6</span><span>≥</span><span>12
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3 0
3 years ago
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Jlenok [28]

Answer:

y + 5 = 2(x−4)

Step-by-step explanation:

slope = 2

y = mx + b

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-8    -8

------------------

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So, y + 5 = 2(x − 4) is the equation of the line that passes through (4, -5).

5 0
2 years ago
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