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1 year ago

Find (fog)(0). f(x) = 6x g(x) = 3x + 6 (fog)(0)

Mathematics

1 answer:

melamori03 [73]1 year ago

3 0

Answer:

Step-by-step explanation:

The functions f(x) and g(x) are defined as f(x) = 6x and g(x) = 3x + 6

fog(x) = f(g(x))

= f(3x + 6)

= 6(4x +2)

6 x 4x = 24x

6 x 2 = 12

fog(x) = 24x + 12

(fog)(0) where x = 0

= 24(0) + 12

= 0 + 12

(fog)(0) = 12

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HELP!!!!!

Elis [28]

Line 1 and line 4 are parallel

Step-by-step explanation:

Two lines are said to be parallel if they have same slope.

In order to compare the lines given, we have to write them all in the same form, and then compare their slopes.

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$y=\frac{1}{3}(x+6)$

Applying distributive property,

$y=\frac{1}{3}x+2$

Line 2:

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Line 3:

$y=-3(x-4)$

Applying distributive property,

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re-arranging,

$3y=x-18\\y=\frac{1}{3}x-6$

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Learn more about parallel and perpendicular lines:

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