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Helga [31]
2 years ago
7

Which represents the inverse of the function f(x) = 4x?

Mathematics
1 answer:
Cloud [144]2 years ago
8 0
To find the inverse function simply replace "x" by "y", replace "y" by "x", and solve for y
f(x)=4x
y=4x
x=4y
y=x/4 or h(x)=(1/4)x
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Simplify the expression (x)^3(x^3y)^2
larisa86 [58]

Answer:

A)

Step-by-step explanation:

(a^{m})^{n} = a^{mn}\\\\x^{3}*(x^{3}*y^{2})^{2}=x^{3}*(x^{3})^{2}*(y)^{2}\\\\\\=x^{3}*x^{3*2}*y^{2}\\\\\\=x^{3}*x^{6}*y{2}\\\\\\=x^{3+6}*y^{2}\\=x^{9}y^{2}

6 0
3 years ago
Which function is the inverse of f(x)= x^3-6x^2+12x-8
Anna71 [15]

We're not given the choices but we don't need them.


The only way this problem is tractable to a middle or high schooler is if the polynomial is perfect cube; a little thought yields


f(x) = (x-2)^3


To find the inverse let's call f(x) x and call x y and solve for y.


x = (y-2)^3


y-2 = \sqrt[3]{x}


y = 2 + \sqrt[3]{x}



4 0
3 years ago
Read 2 more answers
There're some old video games you sell on Ebay for $6, $7 and $9. The titles include " The Pirates", "Under the sea" and "The dr
Semenov [28]

Answer:

2/9

Step-by-step explanation:

lets create a sample space

so

the pirates can be sold for $7 $6 or $9

        p

6       7      9

under the sea can be sold for $6 $7 or $9

                              S

                        6,  7,  9

driving test can be sold for $6 $7 or $9

                            D

                   6, 7, 9

here are all the combinations:

p,6

p,7

p,9

s,6

s,7

s,9

d,6

d,7

d,9

since out of 9 combinations driving test is the only one that is not water related lets look at that. There are only 2 combinations of driving test which are less than or equal to $7, (d,7 and d,6) hence the probability of selling no water games for  less than $7 is 2/9

3 0
3 years ago
Read 2 more answers
-3m-[2m+(5-m)]+7 explain how the simplified answer: 2-4m is correct
gulaghasi [49]

Step-by-step explanation:

So what you can do is first get ride of the parentheses around 5-m so:

-3m - (2m + 5-m)+7

Then, you can simplify the numbers inside the parentheses, so:

-3m-(m+5) + 7

Then, you can get rid of the parentheses by distributing the - sign:

-3m-m-5+7

Next, just combine like terms:

-4m + 2 or 2-4m

4 0
3 years ago
Help me please I need it
tensa zangetsu [6.8K]

Answer:

width = 8 feet and length = 12 feet

Step-by-step explanation:

Let the width be w then the length = 3w - 12 ( 12 less than 3 times the width )

The area (A) of a rectangle is

A = length × width, that is

w(3w - 12) = 96 ← area of floor

3w² - 12w = 96 ( subtract 96 from both sides )

3w² - 12w - 96 = 0 ← in standard form for a quadratic equation

Divide all terms by 3

w² - 4w - 32 = 0

Consider the product of the factors of the constant term ( - 32) which sum to give the coefficient of the w- term (- 4)

The factors are - 8 and + 4, since

- 8 × 4 = - 32 and - 8 + 4 = - 4, hence

(w - 8)(w + 4) = 0

Equate each factor to zero and solve for w

w - 8 = 0 ⇒ w = 8

w + 4 = 0 ⇒ w = - 4

However, w > 0 ⇒ w = 8

Hence width = 8 feet

length = 3w - 12 = (3 × 8) - 12 = 24 - 12 = 12 feet

6 0
3 years ago
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