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

f(x)=-x-14
Answer: 
f^(-1)(x)=

Find the inverse function in slope-intercept form (mx+b) (\mathrm{mx}+\mathrm{b}) :\newlinef(x)=x14 f(x)=-x-14 \newlineAnswer: f1(x)= f^{-1}(x)=

Full solution

Q. Find the inverse function in slope-intercept form (mx+b) (\mathrm{mx}+\mathrm{b}) :\newlinef(x)=x14 f(x)=-x-14 \newlineAnswer: f1(x)= f^{-1}(x)=
  1. Write function as yy: To find the inverse function, we first write the function as y=x14y = -x - 14.
  2. Swap xx and yy: Next, we swap xx and yy to find the inverse. This gives us x=y14x = -y - 14.
  3. Isolate y term: Now, we solve for yy. We start by adding 1414 to both sides of the equation to isolate the term with yy on one side. This gives us x+14=yx + 14 = -y.
  4. Solve for y: To solve for y, we multiply both sides by 1-1 to get yy by itself. This results in x14=y-x - 14 = y.
  5. Inverse function in slope-intercept form: The inverse function in slope-intercept form is therefore f1(x)=x14f^{-1}(x) = -x - 14.

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