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4 years ago

Given f(x)=x^2-3andg(x)=x+1. The composite function g•f is

1 answer:

8 0

$f(x) = {x}^{2} - 3 \\ g(x) = x + 1 \\ gf(x) = you \: put \: f(x) \: into \: g(x). \\ \\ gf(x) = {x}^{2} - 3 + 1 \\ gf(x) = {x}^{2} - 2 \\$

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Which of the following statements is true according to the associative property of multiplication?

goldenfox [79]

(5x4) x 20 = 5 x (4 x 20)

6 0

4 years ago

Read 2 more answers

When y is 4, p is 0.5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation

Radda [10]

<h3><u>Question:</u></h3>

When y is 4, p is 0.5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation models the situation?

xpmy=8

xy/pm=8

xpm/y=0.5

x/pmy=0.5

<h3><u>Answer:</u></h3>

The equation models the situation is $\frac{x y}{p m}=8$

<h3><u>Solution:</u></h3>

Given that

x is 2, y is 4, p is 0.5, and m is 2

x varies directly with the product of p and m

x varies inversely with y

$\text {Product of } p \text { and } m=p \times m=p m$

x varies directly with the product of p and m

$=>x \propto p m$ ---- eqn 1

As x varies inversely with y,

$=>x \propto \frac{1}{y}$ ----- eqn 2

From (1) and 2, we can say that

$x \propto \frac{p m}{y}$

$\Rightarrow x=k \frac{p m}{y}$

where k is constant of proportionality

$\Rightarrow \frac{x y}{p m}=k$ ---- eqn 3

On substituting given values of x = 2, y = 4, p = 0.5 and m= 2 in eqn (3) we get

$\frac{x y}{p m}=\frac{2 \times 4}{0.5 \times 2}=k$

$\begin{array}{l}{\frac{x y}{p m}=\frac{8}{1}=k} \\\\ {=>\frac{x y}{p m}=8}\end{array}$

Hence correct option is second that is $\frac{x y}{p m}=8$

8 0

3 years ago

Read 2 more answers

Determine if x + 2 is a factor of p(x) = x ^4 + 3x^ 3 + 4x ^2 - 8 and explain why.

zlopas [31]

X^4+ 3x^3+4x^2-8 | x+2 = x^3+x^2+2x-4
-x^4-2x^3
-----------------------
x^3+4x^2-8
-x^3-2x^2
-------------------------
2x^2-8
-2x^2-4x
--------------
-4x-8
4x+8
----------------------------
/ /

is a factor because (x+2)(x^3+x^2+2x-4)=x^4+3x^3+4x^2-8

4 0

3 years ago

Read 2 more answers

I need help on doing this problem

Mamont248 [21]

<em>Hey</em><em> </em><em>mate</em><em> </em><em>!</em><em>!</em><em> </em>

Step-by-step explanation:

[ Refer to the attachment ]