tex]What value should be assigned to n to make f a function of degree 7?...

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aniesaasara @aniesaasara

September 2022 1 0 Report

given that =
[tex]f(x) = {7x}^{ - 3n} + {x}^{2} [/tex]
What value should be assigned to n to make f a function of degree 7?

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Answer:

$></p><p></p><p><strong>Step-by-step explanation:</strong></p><p>The degree of a function is determined by the exponent of the term having the greatest exponent.</p><p></p><p>The term, <img src=$ , has a constant exponent. This means that no matter what value of $n$ is, $x^2$ will have an exponent not other than $2$ . However, the term, $7x^{-3n}$ , doesn't have a constant exponent. If we want $f$ to have $7$ as its degree, we must figure out the value of $n$ to make $7x^{-3n}$ have an exponent of $7$ . Essentially, we're figuring out what value $n$ makes $-3n$ equal to $7$ .

$-3n = 7 \\ \frac{-3n}{-3} = \frac{7}{-3} \\ n = -\frac{7}{3}$

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