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3 years ago

Given f(x) = V6x and g(x) =

Mathematics

1 answer:

AURORKA [14]3 years ago

4 0

Answer:

8 is the only one that will work

Step-by-step explanation:

(f o g)(x)=f(g(x)).

So this means the x will first be plug into g.

So let's check your choices.

g(6)=1/(6-6)=1/0 so 6 is not in the domain of g which means it isn't in the domain of (f o g).

g(8)=1/(8-6)=1/2 so this is a number so 8 is in the domain of g,

Let's check if 1/2 is in the domain of f.

f(1/2)=sqrt(6*1/2)=sqrt(3) so this is a number so since 1/2 is in the domain of f then 8 is in the domain of (f o g).

g(4)=1/(4-6)=1/(-2)=-1/2 so 4 is in the domain of g,

f(-1/2)=sqrt(6*-1/2)=sqrt(-3) so this is a problem because you can't square root negative numbers so -1/2 isn't in the domain of f, and therefore 4 isn't in the domain of (f o g).

g(2)=1/(2-6)=1/-4=-1/4 so 2 is in the domain of g.

f(-1/4)=sqrt(6*-1/4)=sqrt(-3/2) so again this is a problem because we can't square root negative numbers so -1/4 isn't in the domain of f, and therefore 2 isn't in the domain of (f o g).

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Solve the following systems of equations. 2^(2x+y−1) = 32 4^(x−2y) = 2

Rina8888 [55]

Answer:(x,y)=(2.5,1)

Step-by-step explanation:

Given

$2^{2x+y-1}=32$

$2^{2x+y-1}=2^5$

thus on comparing

2x+y=6------1

$4^{x-2y}=2$

$2^{2(x-2y)}=2$

On comparing exponent of 2

$x-2y=\frac{1}{2}$ ------2

we get x=2.5

substitute x in 1

y=1

(x,y)=(2.5,1)

6 0

3 years ago

What is the cost of buying 5 kg of cheese worth $9.00 per kg?

topjm [15]

$45

Hope this helps you

6 0

3 years ago

Read 2 more answers

Consider the following statements:

Artyom0805 [142]

Answer:

d. Both I and II are false

Step-by-step explanation:

When there is a high degree of linear correlation between the predictors the errors are found.

The basic objective of the regression model is to separate the dependent and independent variables. So if the variables have high degree of linear correlation then the multi collinearity causes problems or has errors. It is not necessary that multi collinearity must be present with high degree of linear correlation.

For example we have 3 variable of heat length and time. And all of them have a high degree of correlation. With increase in heat and time the length increases . But for multi collinearity with the increase of time and decrease of heat length does not increase. So this causes errors.

y-hat = 135 + 6x + errors

The linear relationship between height and weight is inexact. The deterministic relation in such cases is then modified to allow the inexact relationship between variables and a non deterministic or probabilistic model is obtained which has error which are unknown random errors.

y- hat= a + bXi + ei (i=1,2,3...)

ei are the unknown random errors.

So both statements are false.

7 0

3 years ago

Griffins's driveway is 30 feet long.

VladimirAG [237]

Answer:

10 yards

Step-by-step explanation:

6 0

3 years ago

What value of x gives y=-2? plz help !

Ivanshal [37]

Answer:

-1

Step-by-step explanation:

to find x, use the following formula:

y = mx + b

(y = 0)

(m = change in y-value ... which is 2)

(x = change in x-value ... which is 2)

(b = y-axis ... which is -2)

y = mx + b

y = $\frac{2}{2}$ + -2

$\frac{2}{2}$ = 1

y = 1 + -2

y = -1

5 0

3 years ago