Mathematics, 22.11.2019 20:31 xioher2272

What are the domain and range of the function f(x) = 3x + 5?

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Answer from: kaciejackson91

The domain is the set of all real numbers, i.e.,

-∞ < x < ∞ or x ∈ (-∞, ∞) or x ∈ R.

The range is the set of all real numbers, i.e.,

-∞ < y < ∞ or y ∈ (-∞, ∞) or y ∈ R.

Further explanation

The domain of a function is the set of all values that can be plugged into a function and have the function defined. Besides that, the function has a real number for a value.

Given the function f(x) = 3x + 5. This function is a line function, that is, the simplest polynomial function. The polynomial functions have any real number as their domain.

In our problem, there are no restrictions on the domain (x value). Therefore, this line is continuous for all real values of x.

Hence, in all notations, the domain is the set of all real numbers, i.e.,

$\boxed{ \ -\infty < x < \infty \ }$ , or $\boxed{ \ x \ \epsilon \ (-\infty, \infty) \ }$ , or $\boxed{ \ x \ \epsilon \ R \ }$

The range of a function is the set of all possible values that a function can take.

This is a line with a slope is 3, so this is not a horizontal line that has a fixed value.

Hence, in all notations, the range is the set of all real numbers, i.e.,

$\boxed{ \ -\infty < y < \infty \ }$ , or $\boxed{ \ y \ \epsilon \ (-\infty, \infty) \ }$ , or $\boxed{ \ y \ \epsilon \ R \ }$ Learn moreThe range of the given function Determine the domain of the composite function If f(x) = x² – 2x and g(x) = 6x + 4, for which value of x does (f o g)(x) = 0?

Keywords: what are, the domain and range, the function f(x) = 3x + 5, all real numbers, line, slope, defined

Answer from: Quest

The answer would be b ! explanation: the formula for sa *surface area * is 2×l×w+2×l×h+2×w×h so in this case l=4w=12h=8so you use the formula to solve it and it give you the answer of 352^cm^2
Someone me. it would be nice if u could also explain how u ot the answer and how u do the equation

Someone me. it would be nice if u could also explain how u ot the answer and how u do the equation

Answer from: Quest

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: $\sqrt{\frac{ {72x}^{16} }{ {50x}^{{{36} }}}} = \frac{ { \sqrt{72}x}^{ {16}^{ (\frac{1}{2}) } } }{ { \sqrt{50} x}^ {{36}^{ (\frac{1}{2}) } }}$ multiply exponents per exponent rules to get: $\frac{ { \sqrt{72}x}^{8} }{ { \sqrt{50}x}^{18} }$ remember you subtract exponents from the denominator and add exponents in the numerator so: $\sqrt{ \frac{72}{ 50}} \times ( {x}^{(8 - 18) } ) = \sqrt{ \frac{36}{25} } \times ( {x}^{ - 10} )$ simplify further: $\frac{6}{5} {x}^{ - 10} = \frac{6}{5 {x}^{10} }$ so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.
Plz hurrywhat is the simplified form of ? assume x ≠ 0.

Plz hurrywhat is the simplified form of  ? assume  x  ≠ 0.

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