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3 years ago

Simplify x^2 - 9/x^2 - 3x

Mathematics

1 answer:

Bezzdna [24]3 years ago

5 0

X+3/x or 1/x^8(x-3). if “2-9 & 2-3x” are exponents then the 2nd anwser is the anwser if not then the first.

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The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g.

Dovator [93]

The statement "The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g" is FALSE.

Domain is the values of x in the function represented by y=f(x), for which y exists.

THe given statement is "The domain of (fg)(x) consists of the numbers x that are in the domains of both f and g".

Now we assume the $g(x)=x+2$ and $f(x)=\frac{1}{x-6}$

So here since g(x) is a polynomial function so it exists for all real x.

$f(x)=\frac{1}{x-6}$ does not exists when $x=6$ , so the domain of f(x) is given by all real x except 6.

Now,

$(fg)(x)=f(g(x))=f(x+2)=\frac{1}{(x+2)-6}=\frac{1}{x-4}$

So now (fg)(x) does not exists when x=4, the domain of (fg)(x) consists of all real value of x except 4.

But domain of both f(x) and g(x) consists of the value x=4.

Hence the statement is not TRUE universarily.

Thus the given statement about the composition of function is FALSE.

Learn more about Domain here -

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3 0

2 years ago

Scott has eight CDs, and he picks two to take to work each day. How many different ways can Scott choose two CDs?

blondinia [14]

Answer:

The total number of ways to select 2 CDs from 8 CDs is 28.

5 0

3 years ago

Read 2 more answers

Evaluate each expression

qwelly [4]

Step-by-step explanation:

a = 2
b = 3
c = 5

$\longrightarrow \rm{{\Bigg ( \dfrac{a}{b} \Bigg )}^c} \\ \\ \longrightarrow \rm{{\Bigg ( \dfrac{2}{3} \Bigg )}^5} \\ \\ \qquad \qquad \bigstar \: \boxed{ \bf{ \Bigg ({\frac{x}{y} \Bigg )}^{m} = \frac{ {x}^{m} }{ {y}^{m}} }} \\ \\ \longrightarrow \rm{ \frac{ {(2)}^{5} }{ {(3)}^{5} } } \\ \\ \longrightarrow \bf{ \frac{ 32 }{ 243} }$

Therefore, 32/243 is the answer.

3 0

3 years ago

Consider the quadratic function f(x) = x2 – 5x 6.what are the values of the coefficients and constant in the function?a = b = c

Rina8888 [55]

The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation. Therefore,

f(x) = x2 – 5x + 6
a = 1
b = -5
c = 6

5 0

3 years ago

Read 2 more answers

Please help me with this

RideAnS [48]

Step-by-step explanation:

please I want to help you but the pic is not clear

5 0

3 years ago