What is the first step in finding the inverse of a function?

1 answer:

Taya2010 [7]2 years ago

8 0

The first thing you would do is switch the x and y (B).

For example, to find the inverse of y = 2x + 8:

1. Swap x and y
x = 2y + 8

2. Solve for y (set the equation equal to it):
x - 8 = 2y
y = (x - 8) ÷ 2
$f^{-1}(x)$ = 1/2x - 4

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Jason ate 1/2 of a whole pizza. The next day, he shared the remaining pizza between himself and 2 friends. What fraction of the

suter [353]

Answer:

1/6

Step-by-step explanation:

jason ate 1/2, so only 1/2 of the pizza is left.

1 ÷ 2 = 1/2

he split it equally between himself and 2 friends (3 people)

1/2 ÷ 3

= 1/2 × 1/3

=1/6

8 0

3 years ago

PLZ HELP ASAP DIVIDE LINE SEGMENTS

Yuri [45]

A (4,8) and b (7,2) and let c (x,y)

A , B and C are col-linear ⇒⇒⇒ ∴ slope of AB = slope of BC
slope of AB = (2-8)/(7-4) = -2
slope of BC = (y-2)/(x-7)
∴ (y-2)/(x-7) = -2
∴ (y-2) = -2 (x-7) ⇒⇒⇒ equation (1)

The distance between two points (x₁,y₁),(x₂,y₂) = d
$d = \sqrt{ (x2-x1)^{2} + (y2-y1)^{2} }$

The ratio of AB : BC = 3:2
AB/BC = 3/2
∴ 2 AB = 3 BC
$2 * \sqrt{ (7-4)^{2} + (2-8)^{2} }$ = $3* \sqrt{ (x-7)^{2} +(y-2)^{2} }$
eliminating the roots by squaring the two side and simplifying the equation
∴ 4 * 45 = (x-7)² + (y-2)² ⇒⇒⇒ equation (2)
substitute by (y-2) from equation (1) at equation (2)
4 * 45 = 5 (x-7)²
solve for x
∴ x = 9 or x = 5
∴ y = -2 or y = 6

The point will be (9,-2) or (5,6)
the point (5,6) will be rejected because it is between A and B

So, the point C = (9,-2)

See the attached figure for more explanations