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3 years ago

What is the inverse of the function f(x) = 6x-5/x+9

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

7 0

Answer:

−

(

)

−

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=9x+56−x f - 1 ( x ) = 9 x + 5 6 - x is the inverse of f(x)=6x−5x+9 f ( x ) = 6 x - 5 x + 9 .

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Determine whether the given signal is a solution to the difference equation. Then find the general solution to the difference eq

Ulleksa [173]

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

The given equation is:

$y_{k + 2} + 8y_{k +1} - 9y_{k} = 20k + 12..(1)$

put,

$y_k = k^2\\\\y_{k+2}=(k+2)^2\\\\y_{k+1}=(k+1)^2\\\\$

$(k+2)^2+8(K+1)^2-9k^2 = 20k+12\\\\=20k+12= 20K+12\\\\$

hence y_k=k^2 is its solution.

Now,

$\to y_{k+2}+ 8y_k + 1 - 9y_k = 20k + 12$

the symbol form is:

$(E^2+8E-9)_{yk}=20k+12$

$\to m^2+8m-9=0\\\\\to m^2+(9-1)m-9=0\\\\\to m^2+9m-m-9=0\\\\\to m(m+9)-(m+9)=0\\\\\to (m+9)(m-1)=0\\\\\to m=-9 \ \ \ \ \ \ \ m=1\\$

The general solution is:

$y_k = c_1(-9)^k + c_2(`1)^k\\\\y_k =c_1(-9)^k+c_2$

The complete solution is:

$y_k=(y_k)_c+(y_k)_y\\\\y_k= c_1(-9)^k+c_2+k^2$

The answer is option b: $y_k = k^2 + c_1(-9)^k + c_2$

After solve the complete solution is:

$\bold{y_1=c_1(-9)^k+c_2+k^2.....}$

5 0

3 years ago

Ardit left a 18% tip on a $60 restaurant bill. How much money did he leave for the tip?

Fed [463]

Answer:

$10.80

Step-by-step explanation:

$60.00 x 0.18 = $10.80

5 0

3 years ago

A regular polygon has an exterior angle of 8. what is the sum of all the interior angles

Bogdan [553]

Answer:

7740 degrees.

Step-by-step explanation:

The sum of the exterior angles of all polygons add up to 360 degrees.

So the number of sides and the number of interior angles in this polygon = 360 / 8 = 45.

Each internal angle = 180 - 8 = 172 degrees, so the sum of all interior angles

= 172 * 45

= 7740 degrees,

8 0

3 years ago

Now It's Time to Practice on Your

jeka94

Well, this is absolute value, so as a mixed fraction you would have to times the denominator to the whole number, and then add the answer of that to the numerator (2 x 2 x 1). After that, you should get a whole number as an answer, but make it as a fraction. (put the whole number you got on top of the denominator before (2) to make it a fraction). Then, again, since it's absolute value, then it into a negative. Hope this helps and hope it not confusing!!

4 0

3 years ago

The cost of a cheese pizza is $9.99 plus $0.35 for each additional topping, t.

Shkiper50 [21]

Answer:

Step-by-step explanation:

Create an equation 9.99+0.35t≤12

solve for t

6 0

3 years ago