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Black_prince [1.1K]
3 years ago
6

List the potential solutions to 2 In x= 4In 2 from least to greatest?

Mathematics
1 answer:
irina1246 [14]3 years ago
3 0
Answer Is 0.5 Thank Me Later
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What is the range of f(x) = 3/4x -4
shusha [124]

Answer:

The range is the resulting y-values we get after substituting all the possible x-values.

For the given function : f(x) = \frac{3}{4x} -4

<u>See the attached figure.</u>

The zeros of the denominator at x = 0

The domain is: (-∞,0)∪(0,∞)

<u>The range</u> of the function is the domain of the inverse function of f(x)

y = 3/(4x) - 4

y + 4 = 3/(4x)

4x = 3/(y+4)

x=\frac{3}{4(y+4)}

The zeros of the inverse function:

4(y+4) = 0

y + 4 = 0

y = -4

∴ The range is (-∞,-4)∪(-4,∞)

So, the answer is {y | y > –4} ∪ {y | y < – 4}

=========================================

<u>Note</u>: If the given function is : f(x) = \frac{3}{4} x-4

It will be first degree polynomial function.

Both of the domain and the range = all real numbers R

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4 years ago
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