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3 years ago

7

Let f(x) = 3x - 6 and g(x) = x - 2. Find f(g(5)) - ie. (f o g)(5) and its domain

1 answer:

tigry1 [53]3 years ago

4 0

Do this by finding g(5) first. Replacing x with 5 in g(x) gives you that g(5) = 3. Now replace that 3 in the x in f(x) to get that f(3) = 3. As far as the domain goes,, they are both lines and the domain for lines is all real numbers.

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Answer:

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Step-by-step explanation:

Initial value is the value that you started with: hence 4000.

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2 years ago

He variable y is directly proportional to the variable x . If y = 10 when x = 6, what is the value of y when x = 15?

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10+6=16

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3 years ago

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Karin wants to use the distributive property to find the value of 19·42+19·58 mentally. Which expression can she use?

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3 years ago

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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2 years ago