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2 years ago

F(x)=x^-2x+4 find f(-1)

Mathematics

1 answer:

otez555 [7]2 years ago

7 0

Hello,

$f(x)=x^{-2}+4\\

f(-1)=(-1)^{-2}+4= \dfrac{1}{(-1)^2} +4=1+4=5\\
$

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Each week, Christian earns $x fixing bicycles and receives $10 as his allowance. To find how much he will earn in total over 2 w

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The answer is B.
If he earns $x in one week, then you need 2x to calcualte 2 weeks, add that with his allowance and there you have it.

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I need to know, the area of sector AOB is what fractional part of the area of circle O

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4 months ago

Consider the sequence 3, 6, 12, 24, 48, .... (a) Write a recursive rule to represent the sequence. (b) Write an explicit rule to

saveliy_v [14]

Answer:

a. a[1] = 3; a[n] = 2a[n-1]

b. a[n] = 3·2^(n-1)

c. a[15] = 49,152

Step-by-step explanation:

Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.

The first term is 3, and the common ratio is 2.

The recursive rule is ...

a[1] = 3

a[n] = 2×a[n-1]

The explicit rule is ...

a[n] = a[1]×r^(n-1)

a[n] = 3×2^(n-1)

The 15th term is ...

a[15] = 3×2^(15-1) = 3×2^14

a[15] = 49,152

5 0

2 years ago

Please help!!!!!

sergeinik [125]

-8.1

Step-by-step explanation:

$\frac{ - 4}{9} x + 2.4 = 6$

Times all by 9 to get rid of fraction

$- 4x + 21.6 = 54$

Take 21.6 away from both sides

$- 4x = 32.4$

Divide by -4

$x = - 8.1$

8 0

1 year ago

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The function of f(x) = 3x + 2 has a domain of -3 < x < 5. What is the domain of f-1(x)?

Flura [38]

<h3>Answer: -7 < x < 17</h3>

====================================================

Explanation:

Plug in the lower bound of the domain, which is x = -3

f(x) = 3x+2

f(-3) = 3(-3)+2

f(-3) = -9+2

f(-3) = -7

If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.

If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.

The range of f(x) is -7 < y < 17

Recall that the domain and range swap places when going from the original function f(x) to the inverse $f^{-1}(x)$

This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.

-----------------------

In short, we found the range of f(x) is -7 < y < 17.

That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.

6 0

2 years ago