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pochemuha
3 years ago
6

1) Find the inverse function of f(x)=1/2x+3

Mathematics
2 answers:
dexar [7]3 years ago
8 0
 y = 1/2x + 3
change x and y

x = 1/2y + 3
now find the value of y and that is inverse function 

x - 3 =1/2 y
y = 2x- 6
 
f-(x) = 2x - 6
<u />

for both domain : ( - ∞ , + ∞ )

range f (x) : ( - ∞ , + ∞ )  - { 0 }
range f-(x) :( -∞ , +∞)
Gre4nikov [31]3 years ago
5 0
To find the inverse function you need to change f(x) (call it y) and x, then solve for y:

y = \frac{1}{2}x+3 \\ x = \frac{1}{2}y + 3 \\ x - 3 = \frac{1}{2}y \\ 2x-6 = y

So now you have f^{-1}(x) = 2x-6.

Composition to prove inverse relation: f \circ f^{-1} (x) = x:

f(f^{-1}(x)) = \frac{1}{2}(2x-6)+3 = x - 3 + 3 = x \square

Domain and Range of both functions is Real numbers since they are both linear equations.
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ki77a [65]

-31=3w+9-8w\\\\-5w+9=-31 \ \ /-9\\\\-5w=-40 \ \ /:(-5)\\\\\huge\boxed{w=8}

3 0
3 years ago
ann is grouping 38 rocks, she can put into groups of 10 rocks or as single rocks what are the different ways she can group them
inysia [295]
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This means that Anna can make maximum 3 groups of 10 rocks.

Based on this, the different ways to group the rocks are as follows:
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5 0
3 years ago
3x-5y= -25<br> Solve for x
UkoKoshka [18]
Your answer will x= 5y/3-25/3

7 0
3 years ago
I really need help a and b
Ivan

Using BEDMAS

a) 6+4(2+3)^2
    6+4(5)^2  - Eliminate addition in bracket
    6+4(25)  - Execute the exponent
    6+100  - Mulitplying
    106 - Addition

b)(6+4)(2+3)
   (10)(5) -Addition in BRACKETS done
   50 - Mulipication

If you found that helpful please rate as "Brainiest" if not comment below :)

5 0
3 years ago
Read 2 more answers
Zach found a rat snake in the woods near his home. Its length is 1.473 meters.
kenny6666 [7]

Answer:

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3 0
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