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2 years ago

If f(x) = 2x+4, which of the following is the inverse of f(x)?

Mathematics

1 answer:

Mrrafil [7]2 years ago

4 0

By definition of inverse function,

$f\left(f^{-1}(x)\right) = x$

Given that f(x) = 2x + 4, solve for the inverse of f :

$f\left(f^{-1}(x)\right) = 2 f^{-1}(x) + 4 = x \implies f^{-1}(x) = \dfrac{x-4}2$

(I'm not entirely sure which answer that corresponds to from the choices provided...)

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Suppose the cost of publishing x books is C(x) = 10000 + 25<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D" id="TexFormula1" ti

dusya [7]

Answer:

$\frac{dC}{dQ} \approx 1.25$ , $C(101)-C(100) = 1.247$ , $\delta = 0.24\,\%$

Step-by-step explanation:

The marginal cost function is:

$\frac{dC}{dQ} = 12.5\cdot x^{-\frac{1}{2} }$

The marginal cost for 100 books is:

$\frac{dC}{dQ} \approx 1.25$

The difference is:

$C(101)-C(100) = 25\cdot (101^{\frac{1}{2} }-100^{\frac{1}{2} })$

$C(101)-C(100) = 1.247$

The relative error is:

$\delta = \frac{|1.25-1.247|}{1.25}\times 100\,\%$

$\delta = 0.24\,\%$

6 0

3 years ago

To make his house more energy-efficient, Ernest is putting solar film on the large trapezoid-shaped window in his living room. T

disa [49]

Answer:

25 = 1/2(3 + 7)h

5 feets

Step-by-step explanation:

Given that:

Window shaped in the form of a trapezium :

The length of its bases :

Top of window base = 3 feets

Bottom of window base = 7 feets long

Area of Windom = 25 feets²

Recall :

Area of a trapezium is given by :

Area, A = 1/2(a + b)h

a and b are the bases

h = height

Inputting the Given values into the equation :

25 = 1/2(3 + 7)h

Hence, the height of the window can be Obtian using the expression

25 = 1/2(3 + 7)h

25 = 1/2(10)h

25 = 5h

h = 25 /5

h = 5 feets

7 0

2 years ago

HELP ASAP BEING TIMED! If Triangle J K L is congruent to Triangle B C A, which statement must be true?

Vlada [557]

Answer:

Choice C

Step-by-step explanation:

This is like a matching question. Here's what I mean by this. We know Triangle BCA and Triange JKL are congruent. So, what we have to do is match the side lengths together.

So the first side of BCA matches with JKL, the second side of BCA matches with JKL, the third side of BCA matches with JKL.

So first side:

BC is congruent to JK

So second side:

CA is congruent to KL

So third side:

JL is congruent to BA

The third side is one of our answer choices.

That answer choice is C.

3 0

2 years ago

Pls answer my last one to Rodney sold 45,612 copies of his book and Beth sold 45,612 x one half copies of her book. Which statem

Elden [556K]

Answer:

its most likely b

hope this helps!

6 0

3 years ago

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andre [41]

Answer:

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Step-by-step explanation:

If a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc.

7 0

2 years ago