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3 years ago

What is the inverse of the function f(x) = 2x+1

Mathematics

1 answer:

astra-53 [7]3 years ago

5 0

The inverse is f(x)=2x-1. Because the inverse operation of addition is subtraction.

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Can I get help answering this question? It's a derivatives question, further info in the attachment.

Nadusha1986 [10]

$\bf f(x)=|3+9x|\implies f(x)=\sqrt{(3+9x)^2}\implies f(x)=[(3+9x)^2]^{\frac{1}{2}}
\\\\\\
\cfrac{dy}{dx}=\stackrel{chain~rule}{\cfrac{1}{2}[(3+9x)^2]^{-\frac{1}{2}}\cdot 2(3+9x)\cdot 9}\implies \cfrac{dy}{dx}=\cfrac{9(3+9x)}{[(3+9x)^2]^{\frac{1}{2}}}
\\\\\\
\cfrac{dy}{dx}=\cfrac{27+81x}{|3+9x|}\\\\
-------------------------------$

$\bf \textit{left-hand derivative at }x=-\frac{3}{9}\implies \cfrac{27+81x}{-(3+9x)}
\\\\\\
\cfrac{27+81\left( -\frac{3}{9} \right)}{-3-9\left( -\frac{3}{9} \right)}\implies \cfrac{27-27}{-3+3}\implies \stackrel{unde fined}{\cfrac{0}{0}}\\\\
-------------------------------\\\\
\textit{right-hand derivative at }x=-\frac{3}{9}\implies \cfrac{27+81x}{+(3+9x)}
\\\\\\
\cfrac{27+81\left( -\frac{3}{9} \right)}{3+9\left( -\frac{3}{9} \right)}\implies \cfrac{27-27}{3-3}\implies \stackrel{unde fined}{\cfrac{0}{0}}$

8 0

3 years ago

ASAP!!!! 10 POINTS!!!!

S_A_V [24]

Completing the Square

2. Solve the equation by completing the square. Show your work.

x^2 – 30x = –125

Step 1: Add to both sides of the equation. (2 points)

Add 225 both sides of the equation

x^2 – 30x + 225 = –125 + 225

x^2 - 30x + 225 = 100

Step 2: Factor the left side of the equation. Show your work. (2 points)

Hint: It is a perfect square trinomial.

x^2 - 30x + 225 = 100

Factor the left side of the equation:

(x - 15)^2 = 100

Step 3: Take the square root of both sides of the equation from Step 2. (1 point)

√(x - 15)^2 = √100

Step 4: Simplify the radical and solve for x. Show your work. (1 point)

x - 15 = + - 10

x - 15 = 10

x = 25

x - 15 = -10

x = 5

Solutions x = 25, 5

3 0

4 years ago

Help me pls i need this answered

aksik [14]

Exact form - -4/3
decimal form - -1.3 repeating
mixed number - -1 1/3

5 0

3 years ago

Read 2 more answers

if one card is drawn from a regular deck of cards, what is the probability the card will not be an ace?

satela [25.4K]

There are 52 cards in a deck of cards so that makes 52 your denominator. There are 4 aces in a deck of cards, so 52 - 4 = 48 making 48 your numerator. so the probability the card won't be an ace is 48 out of 52.

48/52 chance that the card will not be an ace.

Hope this helps you. :-)

4 0

3 years ago

Read 2 more answers

A company sells widgets. The amount of profit, y, made by the company, is related to

just olya [345]

Answer:

$978

Step-by-step explanation:

Given:

y = amount of profit
x = selling price of each widget
$y=-x^2+78x-543$

To find the maximum amount of profit, differentiate the equation, set it to zero and solve for x. Substitute found value of x into the original equation.

Differentiate equation

$y=-x^2+78x-543$

$\implies \dfrac{dy}{dx}=-2x+78$