How do I solve multi step equations

What are the steps of determine an inverse of a function?

Yuki888 [10]

Step-by-step explanation:

First, replace f(x) with y . ...

Replace every x with a y and replace every y with an x .

Solve the equation from Step 2 for y . ...

Replace y with f−1(x) f − 1 ( x ) . ...

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

5 0

4 years ago

$182 at 6% simple interest for 4 years. <br>Find the interest earned on the account

White raven [17]

The interest is $43.68

5 0

3 years ago

HELP RIGHT NOW PIZZZ = FASTEST ANSWER BRAINLIEST AND I WILL THANK U

Nuetrik [128]

Answer:

1) The slope of the function $g(x)$ is $0$ and the slope of the function $f(x)$ is $-1$ .

2) The negative slope of the function $f(x)$ shows that it is the line is increasing and the slope $0$ of the function $g(x)$ shows that the line will always have the same y-coordinate.

3) The slope of the function is $f(x)$ is greater than the slope of the function $g(x)$ .

Step-by-step explanation:

For this exercise you need to know that the slope of any horizontal line is zero ( $m=0$ )

The slope of a line can be found with the following formula:

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

You can observe in the graph of the function $g(x)$ given in the exercise, that this is an horizontal line. Then, you can conclude that its slope is:

$m=0$

The steps to find the slope of the function $f(x)$ shown in the table attached, are the following:

- Choose two points, from the table:

$(0,3)$ and $(4,-1)$

- You can say that:

$y_2=-1\\y_1=3\\\\x_2=4\\x_1=0$

- Substitute values into the formula $m=\frac{y_2-y_1}{x_2-x_1}$ :

$m=\frac{-1-3}{4-0}$

- Finally, evaluating, you get:

$m=\frac{-4}{4}\\\\m=-1$

Therefore:

1) The slope of the function $g(x)$ is $0$ and the slope of the function $f(x)$ is $-1$ .

2) The negative slope of the function $f(x)$ shows that it is the line is increasing and the slope $0$ of the function $g(x)$ shows that the line will always have the same y-coordinate.

3) The slope of the function is $f(x)$ is greater than the slope of the function $g(x)$ .

8 0

3 years ago

Written form of 73,046

Helen [10]

73,046 in written form is seventy three thousand forty six

6 0

3 years ago

Read 2 more answers

Help solve 88 please

Fofino [41]

Answer:

The equation of the line is y = -2x + 7

Step-by-step explanation:

* Lets study how to make an equation of the line from two point

- If the line passes through points (x1 , y1) and (x2 , y2)

- The form of the equation is y = mx + c, where m is the slope of the

line and c is the y-intercept

- The rule of the slope is m = (y2 - y1)/(x2 - x1)

- The y-intercept means the line intersect the y-axis at point (0 ,c)

* Now lets solve the problem

∵ The line passes through points (-3 , 13) and (4 , -1)

- Let (-3 , 13) is (x1 , y1) and (4 , -1) is (x2 , y2)

∵ m = (y2 - y1)/(x2 - x1)

∴ m = (-1 - 13)/(4 - -3)

∴ m = (-14)/7 = -2

- Lets write the form of the equation

∵ y = mx + c ⇒ substitute the value of m

∴ y = -2x + c

- To find the value of c use one of the two points to substitute the

values of x and y in the equation

∵ The line passes through (4 , -1)

∴ -1 = -2(4) + c

∴ -1 = -8 + c ⇒ add 8 to both sides

∴ -1 + 8 = -8 + 8 + c

∴ 7 = c

∴ y = -2x + 7

* The equation of the line is y = -2x + 7

4 0

3 years ago