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

1 answer:

Taya2010 [7]3 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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S(x)= 22x-8 and f(x)= -5. What is s(x) x f(x)?

zloy xaker [14]

-110x+40
You need to use the distributive property for this problem
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ExtremeBDS [4]

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What is the equation of the line that passes through the points (-2, -3) and (4, -5)

Jobisdone [24]

Answer:

x + 3y + 11 = 0 is the required equation.

Step-by-step explanation:

Here the given points are A( -2,-3) and B(4,-5)

Now, slope of the equation = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-3))}{4-(-2)} = \frac{-2}{6} =-\frac{1}{3}$

Hence, the slope of the equation is m = (-1/3)

Now, by POINT SLOPE FORMULA:

The equation of a line with slope m and point (x0, y0) is given as

(y - y0) = m (x -x0)

So, here the equation of line with (4, -5) is

$y - (-5) = -\frac{1}{3} (x - 4) \implies 3( y +5) = -x + 4$

or, 3y + 15 + x-4 = 0

or, x + 3y + 11 = 0

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