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Nezavi [6.7K]
3 years ago
7

Given the function f(x) = 5(x+4) − 6, solve for the inverse function when x = 19.

Mathematics
2 answers:
Firdavs [7]3 years ago
8 0
Y = 5(x+4)-6 
<span>x = 5(y+4)-6 </span>
<span>x = 5y +20 - 6 </span>
<span>x= 5y +14 </span>
<span>5y = x-14 </span>
<span>y = (x-14)/5 </span>
<span>
when x = 19, y = (19-14)/5 </span>
<span>y = 5/5 </span>
<span>y=1

In short, Your Answer would be Option 2

Hope this helps!</span>
irakobra [83]3 years ago
5 0
It's been a very long time since I done this, but if I can remember correctly you need to get x on one side and move the rest of the numbers to the other:

(really long method... you could shorten it if you wanted to):
f(x) = 5(x + 4) - 6
=> 19 = 5(x + 4) - 6 
=> 19 = 5x + 20 - 6
=> 19 + 6 = 5x + 20
=> 25 = 5x + 20
=> 25 - 20 = 5x
=> 5 = 5x
=> 5/5 = x
=> 1 = x
Answer: 2) 1

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Step-by-step explanation:

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Hope this helped :)

8 0
3 years ago
How to go from sum of products to product of sums?
irina [24]

Multiplication gives us distribution over the products, so

 

(a′+b+d′) (a′+b+c′+f′) = a′ (a′+b+c′+f′) + b (a′+b+c′+f′) + d′ (a′+b+c′+f′)

 

And then you can then distribute again each of the factors on the right.

Then you should simplify in any given number of ways. To take as an example, you have a′b and ba′, and since a′b + a′b = a′b + a′b = a′b, you can just drop one of them. Since bb = b, you can rewrite bb as b and etc.

 

So in the end part we should arrive at a sum of products. Then you can just invert. For example, if at the end you had:

p′ = a′b + bc′ + d′f ′+ a′f′

 

Then we would have

p = p′′ = (a′b + bc′ + d′f′ + a′f′)′ = (a′b)′⋅(bc′)′⋅(d′f′)′⋅(a′f′)′

 

Then applying De Morgan's laws to each of the factors, e.g., (a′b)′ = a+b′, so we would have

p = (a+b′)⋅(b′+c)⋅(d+f)⋅(a+f)

which is a product of sums.

6 0
4 years ago
Help please and thank you no bots please
I am Lyosha [343]

Answer:

Step-by-step explanation:

midline: any point along the line y = -5

- (-2pi, -5)

- (0, -5)

- (2pi, -5)

maximum: (pi, -2)

minimum: (-pi, -8)

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ankoles [38]

The answer is [ all real numbers ]

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Best of Luck!

4 0
4 years ago
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