2 years ago

By what transformation can the set representing the inverse of a function be found?

1 answer:

s2008m [1.1K]2 years ago

3 0

Step-by-step explanation:

Answer: 2) reflection in the line y = xStep-by-step explanation:A function is transformed to its inverse by swapping the independent and dependent variables. ... More

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Solve. 90<img src="https://tex.z-dn.net/?f=x" id="TexFormula1" title="x" alt="x" align="absmiddle" class="latex-formula"> = 27.

Irina-Kira [14]

Answer: $x$ ≈ $0.732$

Step-by-step explanation:

You need to find the value of the variable "x".

To solve for "x" you need to apply the following property of logarithms:

$log(m)^n=nlog(m)$

Apply logarithm on both sides of the equation:

$90^x=27\\\\log(90)^x=log(27)$

Now, applying the property mentioned before, you can rewrite the equation in this form:

$xlog(90)=log(27)$

Finally, you can apply the Division property of equality, which states that:

$If\ a=b,\ then\ \frac{a}{c}=\frac{b}{c}$

Therefore, you need to divide both sides of the equation by $log(90)$ . Finally, you get:

$\frac{xlog(90)}{log(90)}=\frac{log(27)}{log(90)}\\\\x=\frac{log(27)}{log(90)}$

$x$ ≈ $0.732$

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3 years ago

$14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously. How much will be in the

Svetlanka [38]

Option A = $15,748.096
Formula for compound interest = P(1+Interest Rate)^n
=> 14000(1.04)^3
=$15,748.096

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2 years ago

What is the width of a rectangle with lengh 25in and area 375 in. 2

bonufazy [111]

Answer:

15in

Step-by-step explanation:

Area=width x length

Width=375/25 = 15in

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3 years ago

Solve this system of equations: y=(3/4)x; y=-x-7 *

ladessa [460]

Answer: x

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Step-by-step explanation:

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3 years ago

What is the measure of ABC?

enyata [817]

Answer:

Step-by-step explanation:

The angle at the centre is equal to the arc that subtends it , thus

∠ ABC = arc AB = 75° → B

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2 years ago

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