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anyanavicka [17]
3 years ago
12

Inverse function details

Mathematics
1 answer:
Lerok [7]3 years ago
5 0

Step-by-step explanation:

First, replace f(x) with y ⇒ f(x)=6x-19 ⇒ y=6x-19

Then y with x and x with y  ⇒ y=6x-19 ⇒ x=6y-19

Solve the equation from for y:

           x=6y-19

           x+19=6y dividing with 6

           1/6 x +(19/6) = y

Replace y with f−1(x) ⇒ f−1(x)= 1/6 x +(19/6)

hope this helps!

           

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Nookie1986 [14]
The answer is 82.046
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3 years ago
Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se
kolbaska11 [484]

Answer:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

Step-by-step explanation:

Given:

The expression to expand is given as:

(x-3)(x-9)(x-4)

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

(a + b)(c + d) = ac + ad + bc + bd

(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)

Therefore, the equivalent expression after expanding is given as:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

3 0
2 years ago
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Leona [35]

Answer:

X=-5y/13+90/13, Y=-13x/5+18

Step-by-step explanation:

You need to solve the equation for X and Y.

Solving for X:

13x+5y=90

Subtract 5y: 13x=-5y+90

Divide by 13: x=-5y/13+90/13

--

For Y:

13x+5y=90

Subtract 13x: 5y=-13x+90

Divide by 5: y=-13x/5+90/5

(Simplifies to -13x/5+18)

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astra-53 [7]
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Answer:

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=> x =  = 6

Step-by-step explanation:

7 0
3 years ago
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