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3 years ago

Given the function f(x) = 3x, find the value of f−1(27). f−1(27) = 1 f−1(27) = 3 f−1(27) = 9 f−1(27) = 81

1 answer:

7 0

Fun fact
if f(a)=b then f⁻¹(b)=a
so
if f⁻¹(b)=a then f(a)=b

so we find f(x)=27 and the solve for x

f(x)=3x=27
3x=27
divide both sides by 3
x=9

so if f(9)=27 then f⁻¹(27)=9
problem solved

answer is 9

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There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the outp

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Answer:

<em> 15</em>
<em> 42,250</em>

Step-by-step explanation:

The given function is,

$P=40000+300x-10x^2$

where,

P = the total production of apples,

x = the number of trees added.

As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.

The vertex will be at $\left(-\dfrac{b}{2a},-f\left(\dfrac{b}{2a}\right )\right)$

The value of the function will be maximum at,

$x=-\dfrac{b}{2a}$

Putting the values,

$x=-\dfrac{300}{2\times (-10)}=\dfrac{300}{2\times 10}=\dfrac{300}{20}=15$

So at x=15 or for 15 number of trees the production will be ,maximum.

Putting x=15 in f(x) will yield the maximum production of apples.

$P=40000+300(15)-10(15)^2=42,250$

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3 years ago

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Divide the season pass cost by the daily capstone:

350 / 69 = 5.07

They would have to ski 6 days for the season pass to be less expensive

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3 years ago

What is the x-intercept of this function?

NemiM [27]

Answer:

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Step-by-step explanation:

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2 years ago

The sum of three consecutive odd integers is 195. Find the three integers.

Anettt [7]

Good afternoon,

x= first odd integer
x+2 = second odd integer
x+4= third intenger

The sum of the trhree integer is 195, so:

x + (x+2) + (x+4) = 195
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3 years ago

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Answer:

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3 years ago