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ArbitrLikvidat [17]
3 years ago
8

A proportional relationship is formed when y=1 and x=-4 what is the value of x when y=4

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0

Answer:

x = - 16

Step-by-step explanation:

The equation relating two proportional quantities is

y = kx ← k is the constant of proportionality

To find k use the condition when y = 1, x = - 4

k = \frac{y}{x} = - \frac{1}{4}

y = - \frac{1}{4} x ← equation of proportionality

when y = 4, then

4 = - \frac{1}{4} x (multiply both sides by - 4 )

x = - 16


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Lf f(x) = 5x, what is f^-1(x)?
Nonamiya [84]

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

Step-by-step explanation:

By definition the domain of an inverse function f^-1(x) is the range of f(x) and the range of the inverse function is equal to the domain of the principal function f(x).

If you have a function f(x)=5x, then to find the inverse function, follow these steps:

1. Make y=f(x)

 f(x)=y=5x

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2. Solve for the variable "x":

x=\frac{y}{5}

3. Exchange the variable "x" with the variable "y":

y=\frac{x}{5}

4. Exchange "y" withf^{-1}(x). Then the inverse function is:

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

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3 years ago
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alexgriva [62]
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Transformations reflection practice
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6 0
3 years ago
Question no. 6, can anyone help?
monitta
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Hope this helps
6 0
3 years ago
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