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4 years ago

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

Mathematics

1 answer:

riadik2000 [5.3K]4 years ago

7 0

Answer:

Step-by-step explanation:

To find the inverse function, the first step we do is change f(x) to Y. So now, we have

y=2x+1

Now that we have this function, we simply flip x and y. When we do that, we get

x=2y+1

Now that we have this function, we just solve for Y. We do that by bring 1 to the other side by subtracting it from both sides, then dividing both sides by 2.

x-1=2y+1-1

x-1=2y

(x-1)/2=2y/2

(x-1)/2=y

So, our inverse function is:

y=(x-1)/2, or y=x/2 - 1/2

Hope I helped!

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MrMuchimi

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3 years ago

Your grandparents invested $2,000 for you on the day you were born. How much will this investment be worth on your 25th birthday

algol [13]

We know that, Amount in Compound interest is given by :

$\bigstar \ \ \boxed{\sf{Amount = Principal\bigg(1 + \dfrac{Rate \ of \ Interest}{100}\bigg)^{Time \ Period}}}$

Given : Principal = $2000

Given : Annual yield is 5% and the interest is compounded quarterly

It means : Interest is compounded 4 times in a year

$\implies \sf{Rate \ of \ Interest = \dfrac{R}{4} = \dfrac{5}{4}}$

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Substituting all the values in the formula, we get :

$\implies \sf{Amount = 2000\bigg(1 + \dfrac{\dfrac{5}{4}}{100}\bigg)^{100}}$

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8 0

3 years ago

The mass of a basket with 25 chocolate bars is 1110g. The mass of the empty basket is 310 g. A. What is the mass of 1 chocolate

shusha [124]

Answer:

A. 32 g

B. 3670 g

Step-by-step explanation:

Basket + 25 bars: 1110 g

Basket: 310 g

25 bars: 1110 g - 310 g = 800 g

1 bar: 800 g / 25 = 32 g

105 bars: 105 × 32 g = 3360 g

Basket + 105 bars: 310 g + 3360 g = 3670 g

Answer:

A. 32 g

B. 3670 g

5 0

2 years ago

In the given figure, O is the centre of a circle, TN is a Tangent, AN = 12 cm and OE = 5 cm. Find the length of NE.

sp2606 [1]

Answer:

NE = 8 cm

Step-by-step explanation:

Radius OA = OE = 5 cm

In right triangle OAN, OA² + AN² = ON²

5² + 12² = ON²

ON² = 25 + 144 = 169

so ON = 13 cm

NE = ON - OE = 13 - 5 = 8 cm

3 0

2 years ago

Help please ty ty Appreciate it

MAVERICK [17]

Answer:

a. 113.1 cm^3.

b. 339.29 cm^3.

c. 18 cm.

d. 508.94 cm^3.

e. 169.65 cm^3.

Step-by-step explanation:

a. (4/3) * pi * (3^3) = (4/3) * pi * 27 = 36 * pi = 113.0973355, which is about 113.1 $cm^{3}$ .

b. 113.0973355 * 3 = 339.2920066, which is about 339.29 cm^3.

c. Since the radius of a tennis ball is 3 cm, the diameter is 6 cm. There are three tennis balls, and the diameters added up become the height of the cylinder. 6 + 6 + 6 = 18 cm.

d. pi * (3^2) * 18 = pi * 9 * 18 = pi * 162 = 508.9380099, which is about 508.94 cm^3.

e. 508.9380099 - 339.2920066 = 169.6460033, which is about 169.65 cm^3.

Hope this helps!!

6 0

4 years ago

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

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