All categories

3 years ago

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

Mathematics

1 answer:

AysviL [449]3 years ago

4 0

Answer:

f ^−1(x)=x/2−1/2

Step-by-step explanation:

You might be interested in

Sin theta+costheta/sintheta -costheta+sintheta-costheta/sintheta+costheta=2sec2/tan2 theta -1

sleet_krkn [62]

$\dfrac{sin\theta + cos\theta}{sin\theta-cos\theta}+\dfrac{sin\theta-cos\theta}{sin\theta+cos\theta}=\dfrac{2sec^2\theta}{tan^2\theta-1}$

From Left side:

$\dfrac{sin\theta + cos\theta}{sin\theta-cos\theta}\bigg(\dfrac{sin\theta+cos\theta}{sin\theta+cos\theta}\bigg)+\dfrac{sin\theta-cos\theta}{sin\theta+cos\theta}\bigg(\dfrac{sin\theta-cos\theta}{sin\theta-cos\theta}\bigg)$

$\dfrac{sin^2\theta+2cos\thetasin\theta+cos^2\theta}{sin^2\theta-cos^2\theta}+\dfrac{sin^2\theta-2cos\thetasin\theta+cos^2\theta}{sin^2\theta-cos^2\theta}$

NOTE: sin²θ + cos²θ = 1

$\dfrac{1 + 2cos\theta sin\theta}{sin^2\theta-cos^2\theta}+\dfrac{1-2cos\theta sin\theta}{sin^2\theta-cos^2\theta}$

$\dfrac{1 + 2cos\theta sin\theta+1-2cos\theta sin\theta}{sin^2\theta-cos^2\theta}$

$\dfrac{2}{sin^2\theta-cos^2\theta}$

$\dfrac{2}{\bigg(sin^2\theta-cos^2\theta\bigg)\bigg(\dfrac{cos^2\theta}{cos^2\theta}\bigg)}$

$\dfrac{2sec^2\theta}{\dfrac{sin^2\theta}{cos^2\theta}-\dfrac{cos^2\theta}{cos^2\theta}}$

$\dfrac{2sec^2\theta}{tan^2\theta-1}$

Left side = Right side <em>so proof is complete</em>

8 0

3 years ago

Read 2 more answers

Write the equation of the line in slope intercept form for the lone with a slope of 1/3 and a y intercept of (0,4)

Anastasy [175]

Answer:

$y=\frac{1}{3} x+4$

Step-by-step explanation:

Slope-intercept from is:

$y=mx+b$

m is the slope and b is the y-intercept. Insert slope:

$y=\frac{1}{3}x+b$

The y-intercept is at point (0,4). The y-intercept is when x equals 0, so take the value of y and insert into the equation:

$y=\frac{1}{3} x+4$

Finito.

7 0

2 years ago

Bev has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area

Simora [160]

Answer: 220.5 ft^2

Step-by-step explanation:

You separate it into shapes and sum the area of those. I made a triangle 15 by 15, a rectangle 4 by 15, a smaller rectangle 4 by 10, and a triangle 4 by 4

6 0

3 years ago

Read 2 more answers

Find the midpoint of the line segment with end coordinates of:

Arisa [49]

Answer:

The midpoint of this line segment is (-1.5, -4.5).

Step-by-step explanation:

In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:

-2 -1

x-coordinate of midpoint = --------- = -3/2 = -1.5

-4 -5

y-coordinate of midpoint = ---------- = -4.5

The midpoint of this line segment is (-1.5, -4.5).

5 0

2 years ago

Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene 's car had 5

madam [21]

Answer:

I believe it is $21.24 im sure

7 0

3 years ago

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

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