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1 year ago

For the function f(x) and g(x) given in the graph. Find f(g(2))

Mathematics

1 answer:

Katen [24]1 year ago

3 0

Answer:

f(g(2)) = 4

Step-by-step explanation:

find g(2) then substitute the value obtained into f(x)

locate x = 2 on the x- axis, go vertically up to meet g(x) at (2, 5 )

locate x = 5 on the x- axis, go vertically up to meet f(x) at (5, 4 )

then f(g(2)) = 4

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The answer you are looking for is 45

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which of the following gives an equation of a line that passes through the point (6 over 5, -19 over 5) and is parallel to the l

victus00 [196]

One equation for this would be

$y = \frac{41}{16} x-\frac{55}{8}$

We start by finding the slope between the two points:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-\frac{-19}{5}}{-2-\frac{6}{5}}
\\
\\=(-12+\frac{19}{5}) \div (-2-\frac{6}{5})
\\
\\=(\frac{-60}{5}+\frac{19}{5}) \div (\frac{-10}{5}-\frac{6}{5})
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\\=\frac{-41}{5} \div \frac{-16}{5}=\frac{-41}{5} \times \frac{-5}{16}=\frac{41}{16}$

A line parallel to this one will have the same slope. We will use point-slope form to write our equation:

$y-y_1=m(x-x_1)
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\\y-\frac{-19}{5}=\frac{41}{16}(x-\frac{6}{5})
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\\y+\frac{19}{5}=\frac{41}{16}x- \frac{41}{16} \times \frac{6}{5}
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\\y+\frac{19}{5}=\frac{41}{16}x-\frac{246}{80}
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\\y=\frac{41}{16}x-\frac{246}{80}-\frac{304}{80}
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3 years ago

Solve the equation... 10x - 12 = 48 - 2x

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10 * x - 12 = 48 - 2 * x
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3 years ago

a baker orders 162 eggs. each cartoon contains 18 eggs. which equation can you use to find the number x of cartoons?

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2 years ago

in one day Annie traveled 5 times the sum of the number of hours Brian traveled and two together they travel 20 hours find this

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