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3 years ago

Given the function f(x)=3+1/8x find a formula for the inverse function

1 answer:

5 0

F-1(x) = 8x - 24

You can get this by switching the x and f(x) and then solving for f(x)

f(x) = 3 + 1/8x ---> now switch them
x = 3 + 1/8f(x) ---> now subtract 3 from both sides
x - 3 = 1/8f(x) ---> now multiply both sides by 8
8x - 24 = f(x) ----> ANSWER

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3 years ago

N+4-9 - 5n when simplifying

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Answer:

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3 years ago

Paul can install a 300 hundred square foot hardwood floor in 18 hours. Matt can install the same floor in 22 hours. How long wou

Vadim26 [7]

ANSWER

Paul and Matt will take
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EXPLANATION

First, calculate Paul's rate, which is

$= \frac{1}{18}$

Next, calculate Matt's rate, which is,
$= \frac{1}{22}$

Let us assume that, Paul and Matt took
$x \: hours$
to do the work together.

Then, the rate of working together is,

$= \frac{1}{x}$

Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.

$\frac{1}{18} + \frac{1}{22} = \frac{1}{x}$

Simplify the left hand side

$\frac{11 + 9}{198} = \frac{1}{x}$

$\frac{20}{198} = \frac{1}{x}$

We reciprocate both sides to get (You could have also done cross multiplication).

$\frac{198}{20} = \frac{x}{1}$

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3 years ago

Each square on the grid represents 1 m2. What is the approximate area of this grassy field?

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3 years ago

Read 2 more answers