Q. Find the inverse function in slope-intercept form (mx+b) :f(x)=−x−14Answer: f−1(x)=
Write function as y: To find the inverse function, we first write the function as y=−x−14.
Swap x and y: Next, we swap x and y to find the inverse. This gives us x=−y−14.
Isolate y term: Now, we solve for y. We start by adding 14 to both sides of the equation to isolate the term with y on one side. This gives us x+14=−y.
Solve for y: To solve for y, we multiply both sides by −1 to get y by itself. This results in −x−14=y.
Inverse function in slope-intercept form: The inverse function in slope-intercept form is therefore f−1(x)=−x−14.
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