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3 years ago

For the function f(X) = x^2 -12, find (f o f -^1)(4) A. 6 B. 10 C. 4 D. 0

1 answer:

6 0

Easy

we know that a function composed of it's inverse leaves x
basically
(f o f⁻¹)(x)=x

so

(f o f⁻¹)(4)=4

answer is C

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A sequence is defined by the recursive function f(n + 1) = 1/3f(n). If f(3) = 9 , what is f(1)

lord [1]

Answer:

f(1) = 81

Step-by-step explanation:

given is f(n + 1) = 1/3f(n)

f(3) = 9

ayou need to find f(0) before you can answer what is f(1).

Just start by applying for...

n=0

f(0+1) = 1/3 * f(0)

f(1) = 1/3 * f(0)

n=1

f(1+1) = 1/3 * 1/3*f(0)

f(2) = 1/9 * f(0)

n=2

f(2+1) = 1/3 * 1/9* f(0)

f(3) = 1/27 * f(0)

But it is given that f(3) = 9 so substitute this in the line above to calculate the value of f(0)....

9 = 1/27 * f(0)

Multiply left and right of the = sing by 27 gives

f(0) = 27 * 9

f(0) = 243

We already know this next line because we started with n=0

f(1) = 1/3 * f(0)

Substitute f(0) = 243 in the line above to finally calculate the value of f(1).

f(1) = 1/3 * 243

f(1) = 81

7 0

3 years ago

Create the linear equation from the points (3,3) and (1,-5).

Kisachek [45]

Answer:

$-4x + y = -9\:or\:y = 4x - 9$

Step-by-step explanation:

First, find the rate of change [slope]:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-3 - 5}{-3 + 1} = \frac{-8}{-2} = 4$

Then, plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly that way. It does not matter which ordered pair you choose::

−5 = 4 + b

$\displaystyle -9 = b \\ \\ y = 4x - 9$

If you want it in Standard Form:

y = 4x - 9

- 4x - 4x

_________

$\displaystyle -4x + y = -9$

_______________________________________________

3 = 4[3] + b

$\displaystyle -9 = b \\ \\ y = 4x - 9$

y = 4x - 9

- 4x - 4x

_________

$\displaystyle -4x + y = -9$

** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

7 0

3 years ago

9+10=x x=? --17 --18 --19 --7,000,674,830

natulia [17]

Answer:

Step-by-step explanation:

19-10=9

5 0

2 years ago