4 years ago

Which choice is the appropriate simplified form and restriction for the variable 2x-3x^2/5x^3

1 answer:

3 0

You have to divide the numerator by the denominator and exclude the possibility that the initial denominator be zero.

When you divide [2x - 3x^2] / 5x^3 you simply must simplify an x and obtain:

[2 - 3x] / 5x^2, and x ≠ 0.

So the answer is the option d. but you must use ≠ instead of =.

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3 years ago

1. Evaluate the function f(x)=3x-1 using the domain of -2, 0, 3, and 5. Results are to be shown in a table.

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Answer:

See explanation

Step-by-step explanation:

You are given the function $f(x)=3x-1$

The domain of the function are all possible values of variable x, so you can find f(x) for x=-2, 0, 3, 5:

$f(-2)=3\cdot (-2)-1=-6-1=-7\\ \\f(0)=3\cdot 0-1=0-1=-1\\ \\f(3)=3\cdot 3-1=9-1=8\\ \\f(5)=3\cdot 5-1=15-1=14$

The table is

$\begin{array}{cc}x&f(x)\\-2&-7\\0&-1\\3&8\\5&14\end{array}$

The inverse function $f^{-1}(x)$ has the domain which is the range of the function f(x) (all possible values of f(x)), so the domain of inverse function is {-7,-1,8,14}