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11111nata11111 [884]
3 years ago
8

If f(x) = 1/6 x-8, then f^-1(x)=

Mathematics
1 answer:
bezimeni [28]3 years ago
5 0

Answer:

f^-1(x) is 6x + 48

f(x) = 1/6x - 8

To find f^-1(x) equate f(x) to y

That's

f(x) = y

y = 1/6x - 8

Next interchange the terms

We have

x = 1/6y - 8

Make y the subject

Multiply through by 6

We have

6x = y - 48

y = 6x + 48

Therefore f^-1(x) is 6x + 48

Hope this helps you

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Answer:

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Can you help me with this question please
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4 0
3 years ago
The following system has a solution: x=10, y=-3, z=14
wolverine [178]
<h2>Answer:</h2><h3>False</h3>

<h2>Step-by-step explanation:</h2>

In this problem, we have the following System of Three Equations in Three Variables, so our goal is to determine whether x=10, \ y=-3, \ z=14 is the solution to this system, that is, the ordered triple P(x,y,z) where three planes intersect.

The easier way to find the answer is to plug in the x, y and z values in the equations and figure out whether the equations satisfy the solutions. Then:

First \ Equation: \\ \\ 3(10)+7(-3)-14=-5 \\ \\ It \ satisfies \ the \ first \ equation \\ \\ \\ Second \ Equation: \\ \\ 9(10)-(-3)-4(14)=37 \neq 17 \\ \\ It \ doesn't \ satisfy \ the \ second \ equation

STOP HERE! Since the x, y an z values doesn't satisfy the second equation, the x=10, \ y=-3, \ z=14 is not the solution to the system of equations.

5 0
3 years ago
Which equation represents a linear function? (1 point)
Elan Coil [88]

Answer:

Option D

Step-by-step explanation:

' y = 4x − 1'  would graph as a straight line. Therefore, it is a linear equation.

Liner equations are graphed as a straight line, while nonlinear equations are not.

4 0
4 years ago
Can someone step by step explain the answer please
Vinvika [58]

Answer: z = \sqrt{10}

Step-by-step explanation:

To find <em>z</em>, you must set up a proportion to solve.

To find the altitude of a special right triangle, the formula is:

\frac{a}{x} =\frac{x}{b}

You can use <em>5</em> as <em>a</em> and <em>2</em> as <em>b</em> to complete the proportion:

\frac{5}{z} =\frac{z}{2}

Next, to solve:

<u>Step 1</u>: Cross-multiply.

\frac{5}{z} =\frac{z}{2}

(5)*(2) = z*z

10 = z²

<u>Step 2</u>: Take square root.

10 = z²

√10 = z

I hope this helps!

8 0
3 years ago
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