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Volgvan
3 years ago
6

Please answer fully>>>

Mathematics
2 answers:
svet-max [94.6K]3 years ago
8 0

Let the function be represented by f(x).

Multiplying the number x by 4 results in 4x. Subtracting 2 from results give 4x - 2. So the function becomes:

f(x) = 4x - 2

Finding the inverse function:

Replace f(x) by y, and isolate x on one side of the equation and find the inverse:

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

Yes the inverse function represents the reverse process. Original function involved multiplication by 4 and then subtraction of 2. Inverse function involves addition of 2 and then division by 4. So the inverse represents the reverse of the given process.

PSYCHO15rus [73]3 years ago
4 0

Answer:

Let the function be represented by f(x).

Multiplying the number x by 4 results in 4x. Subtracting 2 from results give 4x - 2. So the function becomes:

f(x) = 4x - 2

Step-by-step explanation:

Replace f(x) by y, and isolate x on one side of the equation and find the inverse

Yes the inverse function represents the reverse process. Original function involved multiplication by 4 and then subtraction of 2. Inverse function involves addition of 2 and then division by 4. So the inverse represents the reverse of the given process.

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