Q. Find the inverse function in slope-intercept form (mx+b) :f(x)=−x−16Answer: f−1(x)=
Write function as y: To find the inverse function, we first write the function as y=−x−16.
Swap x and y: Next, we swap x and y to find the inverse. This gives us x=−y−16.
Isolate y term: Now, we solve for y. We start by adding 16 to both sides to isolate the term with y. This gives us x+16=−y.
Multiply by −1: To solve for y, we multiply both sides by −1 to get y by itself. This gives us −x−16=y.
Inverse function in slope-intercept form: We now have the inverse function in slope-intercept form, which is y=−x−16. However, since we are using the inverse notation, we write it as f−1(x)=−x−16.
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