What is the inverse function of y=x^2+4
1 answer:
Answer:
does not exist
Step-by-step explanation:
The inverse relation is found by swapping x and y, then solving for y.
x = y^2 +4
x -4 = y^2
y = ±√(x -4)
This is the inverse relation. Since it is double-valued, it is not a function.
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The function given does not pass the horizontal line test, so there is no inverse function.
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Answer it’s 14
Explanation
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Explanation
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The vertex (minimum) of the quadratic ax² +bx +c is located at x=-b/(2a). This means the minimum value of f(x) will be found at x = -3/(2*1) = -1.5.
Since the vertex of the quadratic is less than 0, the maximum value of the quadratic will be found at x=2, the end of the interval farthest from the vertex.
On the given interval, ...
the absolute minimum value of f is f(-1.5) = ln(1.75) ≈ 0.559616
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Since the vertex of the quadratic is less than 0, the maximum value of the quadratic will be found at x=2, the end of the interval farthest from the vertex.
On the given interval, ...
the absolute minimum value of f is f(-1.5) = ln(1.75) ≈ 0.559616
the absolute maximum value of f is f(2) = ln(14) ≈ 2.639057