Mathematics: Find the inverse function of f(x)=-4x-10

Find the inverse function of f(x)=-4x-10 - id4101806611, gthif13211

jpsaad00

31.12.2021

$f(x)=-4x-10\\
y=-4x-10\\
-4x=y+10\\
x=-\frac{1}{4}y-\frac{5}{2}\\
f^{-1}(x)=-\frac{1}{4}x-\frac{5}{2}$

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imran2k13

19.04.2021

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3y + 2x = 1 into this form

Subtract 2x from both sides

3y = - 2x + 1 ( divide all terms by 3 )

y = - $\frac{2}{3}$ x + $\frac{1}{3}$ ← in slope- intercept form

with slope m = - $\frac{2}{3}$ → A

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