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3 years ago

Let f(x) = 12 / 4x + 2 find f(-1)

1 answer:

3 0

Although this function could be interpreted two different ways due to formatting, the equation below must be the equation you meant (because the other would create an answer that is not listed in the choices).

$f(x)=\dfrac{12}{4x+2}$

To find f(-1), substitute the x('s) in the equation with -1.

$f(-1)=\dfrac{12}{4(-1)+2}$

$=\dfrac{12}{-4+2}$

$=\dfrac{12}{-2}$

$=-6$

That's your answer.

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Answer:

Given function

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#15 Find the inverse of h(x)

Substitute x with y and h(x) with x and solve for y:

x = 2y - 1
2y = x + 1
y = 1/2x + 1/2

The inverse is:

h⁻¹(x) = 1/2x + 1/2

#16 The graph with both lines is attached.

The x- and y-intercepts of both functions have reversed values.

#17 Table of the inverse function will contain same numbers with swapped domain and range.

Initial look is like this:

x | -3 | -2 | -1 | 0 | 1 | 2 | 3
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x | -3 | -2 | -1 | 0 | 1 | 2 | 3
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3 years ago

Preston has a car washing business. Last year he washed 20 cars a week. This year, he washed 1,200 cars. How many more cars did

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Answer:

He washed 160 more cars this year than last year.

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This year: He washed a total of 1,200 cars.

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3 years ago

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pav-90 [236]

#8) There are THREE right-angle (90°) TRIANGLES.

The "big" triangle has legs "x" and "no designation - so lets call it Z" and hypotenuse "4+5" = 9

The "left" triangle has legs "4" and "y" and hypotenuse "x"

The "right" triangle has legs "5" and "y" and hypotenuse "no designation - which we named Z"

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Right: 5² + y² = Z² → 25 + y² = Z²

Next, let's eliminate Z by using substitution....use the Right equation to plug Z² into the Big equation to create a NEW Big equation.

NEW Big: x² + (25 + y² ) = 81 → x² + y² = 81 - 25 → x² + y² = 56

Now, we have two unknown variables (x and y) and two equations (NEW Big and Left). Solve the system using any method. I am going to solve using the elimination method)

NEW Big: x² + y² = 56

+ Left: x² - y² = 16

2x² = 72 added the NEW Big and Left equations

x² = 36 divided both sides by 2

x = 6 took square root of both sides (NOTE: -6 is disregarded because we are solving for a length, which cannot be negative)

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x² - y² = 16

36 - y² = 16

- y² = 16 - 36

- y² = -20

y² = 20

y = √20

y = 2√5

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Try #9 on your own and then check your answers below:

Big: Z² + x² = 12², Left: 3² + y² = Z², Right: y² + 9² = x²

Answer: x = 6√3, y = 3√3

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