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11111nata11111 [884]
3 years ago
5

If the composite functions f(g(x)) and g(f(x)) equal x then the function g is the __________ function of ff.

Mathematics
1 answer:
sdas [7]3 years ago
6 0
<span>If the composite functions f(g(x)) and g(f(x)) equal x then the function g is the __________ function of ff.

</span>inverse

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Solve for T=C(6+AB) for A
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Answer:

a=t 6

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cb b

Step-by-step explanation:

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C = b - a

explanation:
you just need to subtract a in this equation.
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OlgaM077 [116]

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0.58

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Consider this function. f(x)-3x+3. Which graph represents the inverse of function f?
Kamila [148]

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Answer:

  graph Y

Step-by-step explanation:

The inverse function can be found by solving ...

  x = f(y)

  x = -3y +3

  x -3 = -3y . . . . . subtract 3; next, divide by -3

  y = -1/3x +1 . . . . . matches graph Y

_____

<em>Additional comment</em>

Writing the original equation in standard form can help you see its intercepts.

  3x +y = 3

  3x = 3   ⇒   x = 1 . . . . x-intercept (at y=0)

  y = 3   . . . . y-intercept (at x=0)

The inverse function has the x- and y-intercepts swapped, so you're looking for a line through (0, 1) and (3, 0). The lower left graph (Y) is that graph.

3 0
3 years ago
Graph a line with a slope of -3 that contains the points (4,-2)
Lera25 [3.4K]

Answer:

  see below for a graph

Step-by-step explanation:

To draw a graph on a grid, locate the point (4, -2) and use the slope to find another point. One such point will be 1 to the left and up 3*, at (3, 1). With two points, you can draw the line through them to complete the graph.

__

For a graphing tool that requires an equation, the point-slope form of the equation can be used:

  y -k = m(x -h) . . . . . a line of slope m through point (h, k)

For the given slope and point, the equation of the line is ...

  y +2 = -3(x -4)

  y = -3x +10

_____

* The slope is "rise" over "run". The slope of -3 means that a <em>run</em> of +1 will result in a <em>rise</em> of -3. The given point is already below the x-axis, so we don't really want to find more points farther down. In order to go up on a line with negative slope, we must choose a point to the left of the given one.

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3 years ago
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