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Lilit [14]
3 years ago
13

Find the inverse function in slope-intercept form (mx+b): f(x)=-3/5x+6

Mathematics
1 answer:
ruslelena [56]3 years ago
6 0

Answer:

f^{-1}(x)=-\frac{5}{3} x+10

Step-by-step explanation:

Steps to find the inverse function:

1) replace f(x) with "y"

y=-\frac{3}{5} x+6

2) solve for x:

y-6=-\frac{3}{5} x\\x=-\frac{5}{3}(y-6)\\ x=\frac{5}{3} (6-y)\\x=-\frac{5}{3} y+10

3) replace "x" with f^{-1}(x), and y with x:

f^{-1}(x)=-\frac{5}{3} x+10

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lys-0071 [83]
Remember, we can do anything to an equation as long as you do it to both sides

and distributive proeprty, reversed
ab+ac=a(b+c)

xm=x+z
minus x from both sides
xm-x=z
xm-1x
undistribute x
x(m-1)=z
divide both sides by (m-1)
x=\frac{z}{m-1}
3 0
3 years ago
What is the domain of the function f(x) = x^2 + 5?
Sophie [7]

The domain is R so the first one is correct.

4 0
3 years ago
Dividing the polynomial P(x) by x-6 yields a quotient by Q(x) and a remainder of 5.
bazaltina [42]

Dividing the given polynomial by (x -6) gives quotient Q(x) and remainder 5 then for Q(-6) = 3 , P(-6) = -31and P(6) =5.

As given in the question,

P(x) be the given polynomial

Dividing P(x) by divisor (x-6) we get,

Quotient = Q(x)

Remainder = 5

Relation between polynomial, divisor, quotient and remainder is given by :

P(x) = Q(x)(x-6) + 5   __(1)

Given Q(-6) = 3

Put x =-6 we get,

P(-6) = Q(-6)(-6-6) +5

⇒ P(-6) = 3(-12) +5

⇒ P(-6) =-36 +5

⇒ P(-6) = -31

Now x =6 in (1),

P(6) = Q(6)(6-6) +5

⇒ P(6) = Q(6)(0) +5

⇒ P(6) = 5

Therefore, dividing the given polynomial by (x -6) gives quotient Q(x) and remainder 5 then for Q(-6) = 3 , P(-6) = -31and P(6) =5.

The complete question is:

Dividing the polynomial P(x) by x - 6 yields a quotient Q(x) and a remainder of 5. If Q(-6) = 3, find P(-6) and P(6).

Learn more about polynomial here

brainly.com/question/11536910

#SPJ1

7 0
1 year ago
Trash-A-way charges $25 per month with an additional $0.25 per pound of trash that they pick up from your house. Garbage -No-Mor
goldenfox [79]

25 + 0.25x=45

0.25x=20

x= 20/0.25 = 80

 so 80 pounds of trash

3 0
3 years ago
Which area of this sound wave represents a compression?
Karo-lina-s [1.5K]

Answer:

c

Step-by-step explanation:

idk but im think im sure

4 0
3 years ago
Read 2 more answers
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