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3 years ago

Find the inverse function f -1(x) for the given function f(x). f(x) = x + 1/8

Mathematics

1 answer:

velikii [3]3 years ago

5 0

Answer:

f⁻¹(x) = 8x - 1

Step-by-step explanation:

Swap the positions of y (f(x)) and x and solve for y.

$x=\frac{y+1}{8}\\\\8(x)=\frac{y+1}{8}(8)\\\\8x=y+1\\\\8x-1=y+1-1\\\\8x-1=y$

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The table below represents a function. Which of the following equations could be its function rule?

worty [1.4K]

Answer:

$y=2x-2$ is the required equation.

Therefore, the second option is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation of a linear function is given by

$y=mx+b$

where m is the slope and b is the y-intercept

Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)$

$m=\frac{0-\left(-2\right)}{1-0}$

$m=2$

substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.

$y=mx+b$

$-2 = 2(0)+b$

$-2=0+b$

$b=-2$

Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function

$y=mx+b$

$y=2x+(-2)$

$y=2x-2$

Thus, $y=2x-2$ is the required equation.

Therefore, the second option is true.

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3 years ago

What is the product?

kirill [66]

I think is the answer because the right side =0 and so basically your left with the left side. 6(x² - 1)

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3 years ago

What is the value of -(-9)?<br> Explain your reasoning.

Ymorist [56]

Answer:

-(-9) is 9

Step-by-step explanation:

-(-9)

(when there are two negatives multiplyed with eachother, the product will be postive)

+ 9

+ 9 = 9

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natka813 [3]

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L = # of gladiolus Mrs. Leal has

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Solution for number of Gladiolus each has

3L + L = 128

4L = 128

L = 32

R = 3(32) = 96

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3 years ago

If Albert has 9 cupcakes and Linda has 14 cupcakes and they each give each other 3 how many cupcakes will Albert and Linda have

s344n2d4d5 [400]

Total 23 cupcakes is the answer .

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3 years ago

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