10+(-3.5)x2+(-9)/(-3)

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OverLord2011 [107]

Answer:

Switch x and y, and solve for y

$f^{-1}(x) =\frac{(x -4)^3}{8}$

Step-by-step explanation:

Given

$f(x) = 3\sqrt{8x} + 4$

Required

Complete the steps to determine the inverse function

Solving (a): Complete the blanks

Switch x and y, and solve for y

Solving (b): Determine the inverse function

$f(x) = \sqrt[3]{8x} + 4$

Replace f(x) with y

$y = \sqrt[3]{8x} + 4$

Switch x and y

$x = \sqrt[3]{8y} + 4$

Now, we solve for y

Subtract 4 from both sides

$x -4= \sqrt[3]{8y} + 4-4$

$x -4= \sqrt[3]{8y}$

Take cube roots of both sides

$(x -4)^3= 8y$

Divide both sides by 8

$\frac{(x -4)^3}{8} = y$

So, we have:

$y =\frac{(x -4)^3}{8}$

Hence, the inverse function is:

$f^{-1}(x) =\frac{(x -4)^3}{8}$

7 0

3 years ago

Josie's last four test scores in math were 82 89 92 87. what score on her next test will give her an average of 89 or above

liraira [26]

Take the 89 times 5 tests. You get 445 total score you need for an average of 89. Add 82, 89, 92, 87=350 445-350=95 They must get a 95 on next test to get the average of 89

8 0

3 years ago

Given f(x)=3x^2+5 and g(x)=x−2 . What is (fg)(x) ? 3x^2−x+7 3x^3−6x2+5x−10 −3x^2+x−7 3x^3−10

wolverine [178]

For this case we have that by definition:

$(fg) (x) = f (x) * g (x)$

So:

$(fg) (x) = (3x ^ 2 + 5) (x-2)$

We apply distributive property that states that:

$(a + b) (c + d) = ac + ad + bc + bd$

In addition, we take into account that:

$+ * - = -$

$(fg) (x) = 3x ^ 3-6x ^ 2 + 5x-10$

Answer:

$3x ^ 3-6x ^ 2 + 5x-10$

Option B

6 0

3 years ago

Read 2 more answers

How do I figure the equation out

Tatiana [17]

Answer:

Answer for Parallel line: y = 3x - 13

Answer for Perpendicular line: y = (-1/3)x +17/3

Step-by-step explanation:

Parallel line

For the slope of a line parallel to another (given) line, just read the slope of the given line. It (in this case) is the coefficient in front of the x.

m = 3

So far what you have is y = 3x + b

To find b, use the given point (2,5)

x = 2

y = 5 Substitute these values into the skeletal equation. y = 3x + b

2 = 3*5 + b Subtract 15 from both sides.

2 = 15 + b

2 - 15 = b switch sides

b = - 13

Answer y = 3x - 13

Part B

Perpendicular line

The perpendicular line will have a slope determined by the following formula

m1 * m2 = - 1

m1 is the slope of the given line which is 3

3 * m2 = - 1

m2 = - 1/3

So far, what you have is

y = (-1/3)x + b To find b, use the same 2 givens as above.

y = 5

x = 2

Substitute into the skeletal equation.

5 = (-1/3)(2) + b

5 = -2/3 + b Switch sides.

b - 2/3 = 5 Add 2/3 to both sides.

b = 5 + 2/3

b = 5 2/3 = 17 / 3

Answer

y = (-1/3)x + 17/3

If this doesn't seem right, and you have choices, could you please list them?

4 0

3 years ago

Evaluate 2times 8+5-18divided by3

Taya2010 [7]

Answer:

Step-by-step explanation:

PEMDAS (order of operations)

2 times 8=16

18/3= 6

16+5-6=15

4 0

3 years ago