3 years ago

If f(x) = - 8x +2 then f^-1(x) =

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

3 0

Answer:

f^-1(x) = -1/8x +1/4

Step-by-step explanation:

To find the inverse of a function

Exchange x and y and then solve for y

y =-8x+2

Exchange x and y

x = -8y+2

Now solve for y

Subtract 2 from each side

x-2 = -8y+2-2

x-2 = -8y

Divide by -8

(x-2)/-8 = -8y/-8

Distribute

-1/8x +1/4 = y

f^-1(x) = -1/8x +1/4

You might be interested in

It is predicted that the population of a particular state will double every 25 years. a) Determine the annual and monthly growth

Makovka662 [10]

B...

Hope this helps!

4 0

3 years ago

Given the equation 7(x + 2) = 2x − 1, solve for the variable. Explain each step and justify your process. Jeff solved a similar

Galina-37 [17]

You have to distribute the 7 to x and 2 so :
7x+14=2x-1
Add one to both sides (inverse operations)
7x+14=2x-1
+1 +1
7x+15=2x
Cross Cancel by subtracting 7x from both sides
7x+15=2x
-7x -7x
15=-5x
Divide by -5
15/-5= -5/-5
X= -3

6 0

3 years ago

In cos(0.3), what unit would 0.3 be? Is it radians? Also if you were to solve it, would the answer be in radians as well? Please

neonofarm [45]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The points with coordinates (x, -1), (2,2), and (4,3) lie on the same line. What is the value of x?

borishaifa [10]

Find the slope of the line passing throught the points (2, 2) and (4, 3).

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Substitute:

$m=\dfrac{3-2}{4-2}=\dfrac{1}{2}$

If the point (x, -1) lie on the same line, then the slope of line passing through the points (2, 2) and (x, -1) the same:

Substitute:

$m=\dfrac{-1-2}{x-2}=\dfrac{-3}{x-2}$

We have the equation:

$\dfrac{-3}{x-2}=\dfrac{1}{2}$ <em>cross multiply</em>

$(1)(x-2)=(-3)(2)$

$x-2=-6$ <em>add 2 to both sides</em>

$x=-4$

<h3>Answer: x = -4.</h3>

7 0

3 years ago

Find the perimeter and area of the figure with the given coordinates:

igor_vitrenko [27]

Sorry but I can’t see the picture

3 0

3 years ago