Q. Find the inverse function in slope-intercept form (mx+b) :f(x)=x−16Answer: f−1(x)=
Understand Inverse Function: Understand the concept of an inverse function. An inverse function reverses the operation of the original function. If f(x)=y, then f−1(y)=x. To find the inverse function, we need to solve for x in terms of y.
Replace with y: Replace f(x) with y to prepare for finding the inverse.y=x−16
Swap x and y: Swap x and y to find the inverse function.x=y−16
Solve for y: Solve for y to get the inverse function in slope-intercept form. y=x+16
Replace with f−1(x): Replace y with f−1(x) to denote the inverse function.f−1(x)=x+16
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