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2 years ago

Use f(x) = 1/2x and f -1(x) = 2x to solve the problems.

Mathematics

1 answer:

DENIUS [597]2 years ago

4 0

$f(2) = \frac{1}{2} \times 2 = 1\\f^{-1}(1) = 2 \times 1 = 2\\f^{-1}(f(2)) = f^{-1}(1) = 2$

Note: $f^{-1}(f(x)) = x$ because f -1 and f cancel each other out.

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I need the steps and answers pleass

Schach [20]

Answer:

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5 0

1 year ago

A random sample of 10 shipments of stick-on labels showed the following order sizes.10,520 56,910 52,454 17,902 25,914 56,607 21

sammy [17]

Answer:

Confidence Interval: (21596,46428)

Step-by-step explanation:

We are given the following data set:

10520, 56910, 52454, 17902, 25914, 56607, 21861, 25039, 25983, 46929

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{340119}{10} = 34011.9$

Sum of squares of differences = 551869365.6 + 524322983.6 + 340111052.4 + 259528878 + 65575984.41 + 510538544 + 147644370.8 + 80512934.41 + 64463235.21 + 166851472.4 = 2711418821

$S.D = \sqrt{\frac{2711418821}{9}} = 17357.09$

Confidence interval:

$\mu \pm t_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.05} = \pm 2.2621$

$34011.9 \pm 2.2621(\frac{17357.09}{\sqrt{10}} ) = 34011.9 \pm 12416.20 = (21595.7,46428.1) \approx (21596,46428)$

7 0

2 years ago

Solve the inequality graph the solution set and write it in interval notation x-6<5(x+2)

ANEK [815]

Answer:

x>-4

Step-by-step explanation:

x-6>5x+10

x-5x>10+6

-4x<16

x<16/-4

x<-4

3 0

2 years ago

How many zeros in x^4 + 3x2 + 12

barxatty [35]

Answer:

We know that ,

Number of zeroes in a polynomial = degree of the polynomial

( degree of polynomial = the highest power in the polynomial )

therefore ,

$\bold\blue{number \:of \:zeroes \:of\: the \:given} \\\bold\blue{polynomial\: = \:4}$

hope helpful~

3 0

1 year ago

A plumber uses the expression 48 + 25h to determine the number of dollars to change each customer. If H = 4 how much does the cu

Oliga [24]

If H = 4, we simply plug 4 into the position of h in the expression.

48 + 25 * 4

48 + 100

148

The customer pays $148

5 0

2 years ago

Read 2 more answers