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Serga [27]
2 years ago
15

State the domain and range of f(x) = x²

Mathematics
2 answers:
Mashcka [7]2 years ago
8 0

Answer:

range :all real numbers

domain: all real numbers

ANTONII [103]2 years ago
4 0

Answer:

Domain : All real numbers

Range: y >= 0

Step-by-step explanation:

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Suppose that x and y vary inversely, and x = 12 when y = 8 . Write the function that models the inverse variation.
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Answer:

y=\frac{96}{x}

Step-by-step explanation:

So when x and y, vary inversely, it means that the product of x and y will remain constant such that: xy=c. This means that the function can be defined as y=\frac{c}{x} by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation:  xy = 96, which can be defined as y=\frac{96}{x}

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The graph of g(x) is a transformation of the graph of f(x)=3x. Enter the equation for g(x) in the box. G(x) =.
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Function transformation involves changing the form of a function

The function g(x) is \mathbf{g(x) = 8(2)^x}

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An exponential function is represented as:

\mathbf{y = ab^x}

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\mathbf{2 = ab^{-2}}

At point (-1,4), we have:

\mathbf{4 = ab^{-1}}

Divide both equations

\mathbf{\frac 42=\frac{ab^{-1}}{ab^{-2}}}

Simplify

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Apply law of indices

\mathbf{2=b^{-1+2}}

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Rewrite as:

\mathbf{b =2}

Substitute 2 for b in \mathbf{2 = ab^{-2}}

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This gives

\mathbf{2 =a(\frac 14)}

Multiply both sides by 4

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Express as a function

\mathbf{g(x) = 8(2)^x}

Hence, the function g(x) is \mathbf{g(x) = 8(2)^x}

Read more about exponential functions at:

brainly.com/question/11487261

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