What is the area of the backyard without the garden?

What is the inverse of the function f(x)= 6x-5/x+9

Goshia [24]

Answer:

Inverse of -5-9x/x-6

Step-by-step explanation:

Steps:

1: Interchange the variables x and y.

x=6y-5/y+9

2: Solve x = 6y-5/y+9 for y

3: Multiply both sides by y+9

4: Simplify and Expand

5: Subtract 9x from both sides.

6: Simplify and Subtract y from both sides then Simplify again

7: Divide both sides by x-6

Answer: Inverse of -5-9x/x-6

<em><u>Hope this helps.</u></em>

6 0

2 years ago

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For the function f(x)=(x+6)^3, rind f^-1(x)

qaws [65]

Answer:

$f^{-1}(x)=\sqrt[3]{x}-6$

Step-by-step explanation:

$f(x)=(x+6)^3$

$y=(x+6)^3$

$x=(y+6)^3$

$\sqrt[3]{x}=y+6$

$\sqrt[3]{x}-6=y$

5 0

2 years ago

Onna received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.09 per pound. After buying the

mario62 [17]

Answer:

She bought 5 pounds

Step-by-step explanation:

Original worth of gift card = $80

Balance on card after purchase = $39.55

Amount used for purchase = 80 - 39.55 = $40.45

Next let us determine how many pounds of coffee she bought as follows:

Price of coffee = $8.09 per pound

amount spent on coffee = $40.45

Lett the number of pounds of coffee she bought be x

$ 8.09 = 1 pound

$40.45 = x pounds

since $8.09 = 1 pound

$\$\ 1 = \frac{1}{8.09}\ pounds$

$\$\ 40.45 = 40.45 \times\ \frac{1}{8.09} \\= \frac{40.45}{8.09}\\ = 5\ pounds$

5 0

2 years ago

Calculate the average rate of change for the function f(x) = x4 + 3x3 - 5x2 + 2x - 2, from x = -1 to x = 1

kolezko [41]

In interval <a, b> the average rate of change the function you count from this formula:
$x=\frac{f(b)-f(a)}{b-a} \qquad b>a$
Here you've got a=-1 and b=1:
$f(a)=f(-1)=(-1)^4+3 \cdot (-1)^3 - 5 \cdot (-1)^2 +2 \cdot (-1)-2= \\ = 1-3-5-2-2=-11 \\ \\ f(b)=f(1)=1^4+3 \cdot 1^4 - 5 \cdot 1^2 + 2 \cdot 1 -2=1+3-5+2-2=-1 \\ \\ \hbox{So average rate of change this function is:} \\ \\ x= \frac{-1+11}{1+1}=\frac{10}{2}=5$

5 0

2 years ago

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The following table shows the cost for a person to go to the 4 - H Fair to go on a certain number of rides: Develop an equation

PtichkaEL [24]

In order to develop an equation, let's use the slope-intercept form of the linear equation: