Ask question

Ask question

All categories

Novosadov [1.4K]

3 years ago

14

Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box

1 answer:

anastassius [24]3 years ago

3 0

F(x) = (1/2)x + 4
Plug y in for f(x).
y = (1/2)x + 4
Swap x and y.
x = (1/2)y + 4
Solve the equation for y =.
Subtract 4 from both sides.
x - 4 = (1/2)y
Multiply each term 2.
2x - 8 = y
Plug f^-1(x) in for y.
f^-1(x) = 2x - 8

f^-1(4) = 2(4) - 8
f^-1(4) = 0

You might be interested in

-5,-2,1,4 is models by the equation an=3n-8 find the 42 term

sleet_krkn [62]

A(42) = 3(42) - 8
The 42nd term is 118.

7 0

3 years ago

In your own words, describe how to graph the linear equation y = -1/5x + 3. Step by step

Gemiola [76]

Answer:

Steps given below and graph is attached.

Step-by-step explanation:

First Step:

Find out $y-intercept$ by substituting $x=0$

$y=-\frac{1}{5}\times 0+3\\\\y=3\\\\Hence\ line\ passes\ through\ (0,3).$

Second Step:

Find out $x-intercept$ by substituting $y=0.$

$0=-\frac{1}{5}x+3\\\\\frac{1}{5}x=3\\\\x=15\\\\Hence\ line\ passes\ through\ (15,0).$

Third Step:

Draw a line passing through $(0,3)\ and\ (15,0)$ .

Graph is attached.

7 0

3 years ago

Find the rate of change between (-3,6) (0,-3)

marin [14]

<h3>The rate of change between (-3,6) (0,-3) is -3</h3>

<em><u>Solution:</u></em>

Given that,

We have to find the rate of change between (-3,6) (0,-3)

<em><u>The rate of change is given as:</u></em>

$Rate\ of\ change = \frac{y_2-y_1}{x_2-x_1}$

From given,

$(x_1, y_1) = (-3, 6)\\\\(x_2, y_2) = (0, -3)$

<em><u>Substituting the values we get,</u></em>

$Rate\ of\ change = \frac{-3-6}{0+3}\\\\Rate\ of\ change = \frac{-9}{3}\\\\Rate\ of\ change = -3$

Thus rate of change is -3

3 0

3 years ago

A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon

Lelu [443]

468.1 shoppers visited because of a coupon

7 0

3 years ago

Describe the transformation from the graph of f(x) = x + 2 to the graph of g(x) = x − 7.

galina1969 [7]

The graph went down 9

7 0

2 years ago