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Tomtit [17]
3 years ago
11

Subtract 45 from 16 raised to the 6th power; then multiply by 3.

Mathematics
1 answer:
Nataly [62]3 years ago
5 0
(16^6-45) 3
(16,777,216-45) 3
(16,777,171) 3
50,331,513
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We have been given a quadratic function f(x)=(x-5)^{2} +2 and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is [2,\infty).

If we restrict the domain of this function to either (-\infty,5] or [5,\infty), it will become one to one function.

Let us know find its inverse.

y=(x-5)^{2}+2

Upon interchanging x and y, we get:

x=(y-5)^{2}+2

Let us now solve this function for y.

(y-5)^{2}=x-2\\
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Hence, the inverse function would be f^{-1}(x)=5+\sqrt{x-2} if we restrict the domain of original function to [5,\infty) and the inverse function would be f^{-1}(x)=5-\sqrt{x-2} if we restrict the domain to (-\infty,5].

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jonny [76]

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Step-by-step explanation:

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lord [1]

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s344n2d4d5 [400]
(7.2\cdot10^7)^2=7.2^2\cdot(10^7)^2=51.84\cdot10^{14}=\boxed{5.184\cdot10^{15}}=\\
\boxed{5,184,000,000,000,000}
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3 years ago
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