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Viefleur [7K]
3 years ago
8

Inverse Function: f-¹ (- 3) f(x) = 6x - 12

Mathematics
1 answer:
sp2606 [1]3 years ago
7 0
       f(x) = 6x - 12
          y = 6x - 12
  y + 12 = 6x - 12 + 12
  <u>y + 12</u> = <u>6x</u>
      6         6
¹/₆y + 2 = x
          y = ¹/₆x + 2
     f⁻¹(x) = ¹/₆x + 2
    f⁻¹(-3) = ¹/₆(-3) + 2
    f⁻¹(-3) = -¹/₂ + 2
    f⁻¹(-3) = 1¹/₂
(x, f⁻¹(x)) = (-3, 1¹/₂)
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Can someone finish the whole thing ??
Romashka-Z-Leto [24]
<h3>Answer:    y = (3/2)x + 0</h3>

This is the same as  y = (3/2)x

=============================================================

Work Shown:

Find the slope of the line through (x1,y1) = (-2,-3) and (x2,y2) = (2,3)

m = (y2 - y1)/(x2 - x1)

m = (3 - (-3))/(2 - (-2))

m = (3 + 3)/(2 + 2)

m = 6/4

m = 3/2

The slope is the fraction 3/2. This is going to be in front of the x, or to the left of the x.

----------

Plug m = 3/2 and (x1,y1) = (-2,-3) into the point slope formula. Solve for y.

y - y1 = m(x - x1)

y - (-3) = (3/2)(x - (-2))

y + 3 = (3/2)(x + 2)

y + 3 = (3/2)x + (3/2)(2)

y + 3 = (3/2)*x + 3

y + 3 - 3 = (3/2)*x + 3 - 3

y = (3/2)x + 0

The y intercept is zero. This matches up with the fact the graph crosses the y axis at y = 0.

3 0
3 years ago
How do you write out in expanded form 35.245 in fractions
Doss [256]

I believe the answer to this30+5+.2+.04+.005

3 0
2 years ago
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The sum of three numbers is 54. The third number is 2 times the second. The second number is 10 more than the first. What are th
Svetllana [295]

Answer:

8, 18 and 36 respectively.

<h2>explanation</h2>

sum=54

1st number=x

2nd number=x+10

3rd number =2(x+10)=2x+20

x+x+10+2x+20=54

put the liketerms together

x+x+2x=54-10-20

4x=24

divide both sides by 4 to get

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Input the other values

6 0
2 years ago
The graphed line can be expressed by which equation?
earnstyle [38]

Answer:

The Answer is: y = 2/3x - 2/3

Step-by-step explanation:

Given points: (4, 2) and (-2, -2)

Find the slope m:

m = y - y1 / (x - x1)

m = 2 - (-2) / (4 - (-2))

m = 2 + 2 / (4 + 2)

m = 4 / 6 = 2/3

Use the point slope form, substitute the point (4, 2) and solve for y to get the point slope form:

y - y1 = m(x - x1)

y - 2 = 2/3(x - 4)

y - 2 = 2/3x - 8/3

y = 2/3x - 8/3 + 6/3

y = 2/3x - 2/3

Proof:

f(-2) = 2/3(-2) - 2/3

= -4/3 - 2/3 = -6/3 = -2, giving (-2, -2)

Hope this helps!! Have an Awesome Day!! :-)

4 0
3 years ago
Answer asap i will make you brainliest!!!
Ahat [919]

ers as the elements in the rows near the bottom.

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have higher atomic numbers than the elements in the rows near the bottom.

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have lower atomic numbers than the elements in the rows near the bottom.

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