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3 years ago

For which function is f(x) equal to f-1(x)?

Mathematics

1 answer:

Readme [11.4K]3 years ago

6 0

Let's solve for f.
y=f−1x
Step 1: Flip the equation.
f−x=y
Step 2: Add x to both sides.
f−x+x=y+x
f=x+y
Answer:
f=x+y

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The daily calorie intake for a rider in the Tour de France is 3500 calories. If the race for the day is 4 hours, about how many

stepan [7]

Answer:

875 calories per hour

Step-by-step explanation:

To find out how much calories would be used per hour you have to divide 3500 calories by 4 hours to get 875 calories. Hope this helps :)

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3 years ago

What is an equation of the line that passes through the points (-7, 7) and (3, 7)(

Andreas93 [3]

Answer:

y=7

Step-by-step explanation:

The slope is (7-7)/(3+7) = 0. So, the line is a horizontal line.

The y value of both points is 7.

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3 years ago

Consider the differential equation x2y′′ − 9xy′ + 24y = 0; x4, x6, (0, [infinity]). Verify that the given functions form a funda

pantera1 [17]

Answer:

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

$y= c_1x^4+c_2x^6$

Step-by-step explanation:

Given equation is

$x^2y'' - 9xy+24y=0$

This Euler Cauchy type differential equation.

So, we can let

$y=x^m$

Differentiate with respect to x

$y'= mx^{m-1}$

Again differentiate with respect to x

$y''= m(m-1)x^{m-2}$

Putting the value of y, y' and y'' in the differential equation

$x^2m(m-1) x^{m-2} - 9 x m x^{m-1}+24x^m=0$

$\Rightarrow m(m-1)x^m-9mx^m+24x^m=0$

$\Rightarrow m^2-m-9m+24=0$

⇒m²-10m +24=0

⇒m²-6m -4m+24=0

⇒m(m-6)-4(m-6)=0

⇒(m-6)(m-4)=0

⇒m = 6,4

Therefore the auxiliary equation has two distinct and unequal root.

The general solution of this equation is

$y_1(x)=x^4$

and

$y_2(x)=x^6$

First we compute the Wronskian

$W(x)= \left|\begin{array}{cc}y_1(x)&y_2(x)\\y'_1(x)&y'_2(x)\end{array}\right|$

$= \left|\begin{array}{cc}x^4&x^6\\4x^3&6x^5\end{array}\right|$

=x⁴×6x⁵- x⁶×4x³

=6x⁹-4x⁹

=2x⁹

≠0

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

$y= c_1x^4+c_2x^6$

5 0

3 years ago

If u do this, i will love u plss!

Andreas93 [3]

Answer:

1/2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Amy and her brother get the same allowance. Amy saved 1/5 and her brother 4/5 of his allowance. How much more did her brother sa

Anon25 [30]

Answer:

3/5

Step-by-step explanation:

Step one:

given data

Amy saved 1/5

her brother 4/5

Required

How much more did her brother save

Step two:

let us subtract Amy's savings from her brother's

4/5-1/5

=4-1/5

=3/5

6 0

3 years ago