What is -2(8x-1)=4(3x+4) equal to

What is the inverse of the function f(x) = 8x+1

Yanka [14]

Answer:

f⁻¹(x) = (x - 1)/8

Or

f⁻¹(x) = 1/8 x - 1/8

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".

Remember "f(x)" is the same thing as "y". Change from function notation to "y".

f(x) = 8x + 1

y = 8x + 1

Switch the "x" and "y" variables

x = 8y + 1

Isolate "y". Move the "y" variable to the left for standard formatting

8y + 1 = x

8y + 1 - 1 = x - 1 Subtract 1 from both sides

8y = x - 1

$\frac{8y}{8}=\frac{x-1}{8}$ Divide both sides by 8 and simplify

$y=\frac{x-1}{8}$ Inverse equation

$y=\frac{1}{8}x-\frac{1}{8}$ Slope-intercept form

Use function notation, change "y"

$f^{-1}(x)=\frac{x-1}{8}$ Simplified

$f^{-1}(x)=\frac{1}{8}x-\frac{1}{8}$ Slope-intercept form

6 0

3 years ago

Henry wants some of his

Morgarella [4.7K]

Answer:

maybe 14 or 15 im not good with this stuff im in 8th grade and im very very behind a lot im prob gonna delete this app cuz I dont understand anything

3 0

3 years ago

What is the completely factored form of 12xy – 9x – 8y + 6? (3x – 2)(4y – 3) 3x(4y – 3) – 2(4y + 3) –6x(4y – 3)(4y – 3) (3x – 2)

d1i1m1o1n [39]

12xy - 9x - 8y + 6 = 3x(4y-3) - 2(4y-3) = (3x-2)(4y-3)

7 0

4 years ago

Read 2 more answers

Elena and Jada are 25 miles apart when they start moving toward each other. Elena runs at a constant speed of 6 mph and Jada wal

Setler [38]

Answer:

The Time taken by Elena and Jade to meet up is 2.5 hours

Explanation:

Given,

Elena moves with a speed of 6mph while Jada walks at a speed of 4 mph

Also, Distance can be calculated by the formula

$Distance = Speed * Time$

To find out the Total speed, i.e., speed of both Elena and Jada as both of them are walking in opposite direction we should add the speed of both the persons, if in same direction we should subtract the values

Here it will be: $6 + 4$ = 10mph

Distance apart is given as 25 miles. Substituting the values,

$Distance = Speed * Time$

25 = $10 * time$

Time = 25/10

Time = 2.5 hour

Hence, It will take 2.5 hours to meet up.

3 0

4 years ago

1. What is the volume of a square

nikitadnepr [17]

Answer:

D. The volume of square based pyramid is 1280 $inch^{3}$

Step-by-step explanation:

Given:- A square base pyramid of,

Base edge (b) =16 inches.

Height (h)= 15 inches.

To find:- Volume of the square bases pyramid=?

Solution:-

As the given pyramid is a square based pyramid, therefore the formula to find the volume for square based pyramid is,

Volume of square based pyramid = $b^{2} \frac{h}{3}$

where, b is the base edge and h is the height of the pyramid.

$\therefore$ Volume of square based pyramid = $\frac{16^{2}\times 15 }{3}$

$\therefore$ Volume of square based pyramid = $\frac{256\times 15}{3}$

$\therefore$ Volume of square based pyramid = $\frac{3840}{3}$

$\therefore$ Volume of square based pyramid = 1280 $inch^{3}$

Therefore the volume of square based pyramid is 1280 $inch^{3}$

5 0

3 years ago