Find the inverse function in slope-intercept form (mx+b) : f(x)=-x-8 Answer: f^(-1)(x)=

Write function as y = -x - 8: To find the inverse function, we first write the function as y = -x - 8, where y is the output and x is the input.Swap roles of x and y: Next, we swap the roles of x and y to find the inverse. This means we replace every x with y and every y with x to get x = -y - 8.Solve for y: Now, we solve for y to get the inverse function in slope-intercept form. We start by adding y to both sides to get x + 8 = -y.Multiply by -1: Then, we multiply both sides by -1 to solve for y, which gives us -x - 8 = y.Inverse function in slope-intercept form: The inverse function in slope-intercept form is therefore f^(-1)(x) = -x - 8.

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Find the inverse function in slope-intercept form
(mx+b) :

f(x)=-x-8
Answer:
f^(-1)(x)=

Find the inverse function in slope-intercept form $(\mathrm{mx}+\mathrm{b})$ : $\newline$ $f(x)=-x-8$ $\newline$ Answer: $f^{-1}(x)=$

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Algebra 2

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Q. Find the inverse function in slope-intercept form

(\mathrm{mx}+\mathrm{b})

\newline

f(x)=-x-8

\newline

Answer:

f^{-1}(x)=

Write function as $y = -x - 8$ : To find the inverse function, we first write the function as $y = -x - 8$ , where $y$ is the output and $x$ is the input.
Swap roles of x and y: Next, we swap the roles of x and y to find the inverse. This means we replace every $x$ with $y$ and every $y$ with $x$ to get $x = -y - 8$ .
Solve for y: Now, we solve for $y$ to get the inverse function in slope-intercept form. We start by adding $y$ to both sides to get $x + 8 = -y$ .
Multiply by $-1$ : Then, we multiply both sides by $-1$ to solve for $y$ , which gives us $-x - 8 = y$ .
Inverse function in slope-intercept form: The inverse function in slope-intercept form is therefore $f^{-1}(x) = -x - 8$ .