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ale4655 [162]
3 years ago
6

Le

Mathematics
1 answer:
Dima020 [189]3 years ago
7 0

Answer:

B

Step-by-step explanation:

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Write the inverse function for the function, ƒ(x) =1/2x + 4. Then, find the value of ƒ^ -1(4). Type your answers in the box.
Kipish [7]

Answer:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

Step-by-step explanation:

f(x) = \frac{1}{2} x + 4\\x = \frac{1}{2} f^{-1}(x) + 4\\x - 4 = \frac{1}{2} f^{-1}(x)\\2x - 8 = f^{-1}(x)\\f^{-1}(x) = 2x - 8

Let's test it

f^{-1}(f(x)) = 2(f(x)) - 8\\f^{-1}(f(x)) = 2( \frac{1}{2}x + 4) - 8\\f^{-1}(f(x)) = \frac{2}{2}x + 8 - 8\\f^{-1}(f(x)) = x

So we do indeed have the inverse function, so using that we can plug in the values requested:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

4 0
3 years ago
How do I work this out I need full answer im lost​
taurus [48]

Answer:

7x = 35cm ; 2x = 10cm

Step-by-step explanation:

7x and 2x are the lengths

7x+2x=45

Then you take 7 + 2 = 9

so is gonna be 9x = 45

then you divide both side with 9

so is gonna be x = 5

Then you take 5 multiply 7 : 2

so 7 x 5 = 35cm

2 x 5 = 10cm

7 0
3 years ago
What is the value of x in the equation 0.7x – 1.4 = –3.5
Mama L [17]
The answer is x= -3. 0.7(-3)-1.4=-3.5
5 0
3 years ago
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The Yoga class you wish to take is offering two price quotes: $108 for 5 weeks as (15 classes) or $125 for 8 weeks (24 classes).
AURORKA [14]
The answer is C)
108/15 - 125/24 = 1.99
4 0
3 years ago
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Consider a graph of the equation y = x + 6. What is the y-intercept?
Ratling [72]
In y = mx + b form, which is what ur equation is in, the y int can be found in the b position

y = mx + b
y = x + 6

as u can see, the number in the b position, ur y int, is 6 <==
7 0
3 years ago
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