Composition of functions

1 answer:

7 0

For example, in the composition of(f g)(x) = f(g(x)), we need to replace each x found in f(x), the outside function, with g(x), the inside function. Step 3: Simplify the answer. Examples – Now let's use the steps shown above to work through some examples. Example 1: If f(x) = –4x + 9 and g(x) = 2x – 7, find(f g)(x).

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Write the equation in the form Ax + By = C. Find an equation of a line passing through the pair of points (-7,3) and (-8,-9).

Illusion [34]

Answer:

12x -y = -87

Step-by-step explanation:

You can start with the 2-point form of the equation of a line and manipulate it to give you the standard form.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (-9 -3)/(-8 -(-7))(x -(-7)) +3

y = (-12/-1)(x +7) +3

y = 12x +84 +3

-12x +y = 87 . . . . . subtract the x-term

12x -y = -87 . . . . . . make the leading coefficient positive (per standard form)

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A sequence of transformations maps ∆ABC onto ∆A″B″C″. The type of transformation that maps ∆ABC onto ∆A′B′C′ is a_______

MakcuM [25]

The type of transformation that maps <span>∆ABC onto ∆A′B′C′ is a
reflection transformation
The triangle is reflected across the line y = 0.
</span><span>
When ∆A′B′C′ is reflected across the line x = -2 to form ∆A″B″C″,
B'' vertex
of ∆A″B″C″ will have the same coordinates as B′</span>

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2 years ago

What is the equation of a line with a slope of 7 and a point (1, 8) on the line?

Helen [10]

Answer:

$y=7x+1$