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shtirl [24]
3 years ago
7

F(x) = 6x^2 find the inverse

Mathematics
1 answer:
anygoal [31]3 years ago
6 0

Answer:

The inverse is ±sqrt(x/6)

Step-by-step explanation:

Let y = 6x^2

To find the inverse, exchange x and y and then solve for y

Exchange x and y

x = 6y^2

Solve for y

Divide each side by 6

x/6 = 6y^2 /6

x/6 = y^2

Take the square root of each side

±sqrt(x/6) = sqrt(y^2)

±sqrt(x/6) =y

The inverse is ±sqrt(x/6)

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Let f(x) = x ^ 2 and g(x) = x - 3 . Evaluate (g?f)(0).
nignag [31]

Answer:

g(f(0))=-3

Step-by-step explanation:

we have

f(x)=x^{2}

g(x)=x-3

we know that

(g o f)(x)=g(f(x))

substitute the variable x in the function g(x) by the function f(x)

so

g(f(x))=x^{2}-3

Evaluate g(f(0))

For x=0

g(f(0))=0^{2}-3

g(f(0))=-3

5 0
3 years ago
A customer left a 15% tip for a meal that cost $64. What was the total amount the customer paid for the meal and tip?
Inessa05 [86]

Answer:

73.6

Step-by-step explanation:

64x15%=9.6

9.6+64=73.6

4 0
2 years ago
1/3 of ___ is 1/27<br> please help asap
tekilochka [14]

Answer:

1/9 use inverse.

Step-by-step explanation:

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3 0
2 years ago
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the
IrinaVladis [17]

Answer:

Step-by-step explanation:

A) 16.13 = 12(1.03)ⁿ

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ln(1.344) = n(ln(1.03))

           n = (ln(1.344)) / ln(1.03)

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so a domain of 0 ≤ n ≤ 10 is reasonable

B) y-intercept is the height of the plant on day 0 which would be 12 cm

C) f(3) = 12(1.03)³ = 13.11 cm

average rate of change = Δh/Δn = (16.13 - 13.11) / (10 - 3) = 3.02 / 7

= 0.43 cm/day  or average growth per day

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2 years ago
Suppose you go shopping for a new futon bed for your apartment/home. The model you really like happens to be on sale for $500. I
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The answer will be 60 percent
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