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3 years ago

The function h(x)= x^2+3 and g(x)= x^2-6. If g(x) = h(x) +k, what is the value of k

Mathematics

2 answers:

trapecia [35]3 years ago

8 0

Answer:

k = - 9

Step-by-step explanation:

h(x) = x² + 3

g(x) = x² - 6

g(x) = h(x) + k

x² - 6 = x² + 3 + k

-6 - 3 = k

k = - 9

mel-nik [20]3 years ago

5 0

Answer:

Step-by-step explanation:

$h(x)=x^2+3\\\\g(x)=x^2-6\\\\g(x)=h(x)+k\qquad(*)\\\\\text{Substitute to (*)}:\\\\x^2-6=x^2+3+k\qquad\text{subtract}\ x^2\ \text{from both sides}\\\\x^2-x^2-6=x^2-x^2+3+k\\\\-6=3+k\qquad\text{subtract 3 from both sides}\\\\-6-3=3-3+k\\\\-9=k\to k=-9$

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Which functions domain consists of all real numbers except -2?

Eddi Din [679]

Answer:

option (a) f(x)= 1/x+2

Step-by-step explanation:

(a) f(x) = 1/ x+2

To find the restriction for domain , we set the denominator =0 and solve for x

x+2 =0, so x=-2

When x=-2 then denominator becomes 0 that is undefined.

So, domain is all real numbers except -2

(b) f(x)= 2x

In this function, there is no denominator or square root or log function

so there is no restriction for x, hence domain is all real numbers

In this function, there is no denominator or square root or log function

so there is no restriction for x, hence domain is all real numbers

f(x) = 1/ sqrt(x+2)

if we have square root in the denominator then we set the denominator >0 and solve for x. because square root of negative values are undefined

x+2>0, x>-2

Hence domain is all real numbers that are greater than -2

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3 years ago

How do I find the variable?<br><br> N x 1/5 = 2/15<br><br> N / 1/5 = 1/3

algol [13]

First you need to get all variables on one side. You do that by multiplying the reciprocal of the fraction to everything.
N(5/1) x 1/5(5/1)=2/15(5/1)
5n=2/15 x 5/1
Then solve the multiplication problem
5n= 10/15
Then you should reduce the fraction
5n=2/3
Then divide both sides by 5
5n/5=N
2/3 divided by 5 =2/15

N=2/15

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3 years ago

PLEASE HELP (100 POINTS)

omeli [17]

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2 years ago

If Laura walks 3 miles in 80 minutes, then Laura will walk how far in 120 minutes if she walks at the same speed the whole time?

svet-max [94.6K]

Answer: the answer would be 4.5

Step-by-step explanation:

she walks 3 miles every 80 minutes and 80 plus 80 would be 160 but this is 120 so it would be 80 plus 40 so its half of 80 so half of 3 is 1.5 so there, hopes this helps

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3 years ago

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