Two fifths of one less than a number is less than three fifths of one more than that number .what numbers are in the solution se
1 answer:
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Answer:
<u>Step-by-step explanation:</u>
The vertex form of a parabola is y = a(x - h)² + k or x = a(y - k)² + h
- (h, k) is the vertex
- p is the distance from the vertex to the focus
- -p is the distance from the vertex to the directrix
1) y = -2(x - 4)² - 1 → a = -2 (h, k) = (4, -1)
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2) x = (y - 1)² + 2 → a = 1 (h, k) = (2, 1)
Answer:
The range is the resulting y-values we get after substituting all the possible x-values.
For the given function :
<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)
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}
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<u>Note</u>: If the given function is :
It will be first degree polynomial function.
Both of the domain and the range = all real numbers R
