Inverse Function Worksheets
Our compilation of printable inverse function worksheets should be an obvious destination, if practicing undoing functions or switching input and output values is on your mind. High school students can scroll through a bunch of tried and tested exercises like observing graphs and determining if they are functions, verifying if two functions are inverses of each other, finding inverses of functions with restricted domains graphically and algebraically, to mention just a few. Our free inverse function worksheets are definitely worth a try!
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A vertical line test is all it takes to determine if a graph represents a function. Establish if it has a one-to-one correspondence and passes the horizontal line test as well to figure out if it has an inverse function.
High school learners examine the graphs and sketch the line y = x; if the two functions f(x) and g(x) are mirror images of each other or reflect each other with y = x as the line of symmetry, then they are inverses of each other.
Verify algebraically if the functions f(x) and g(x) are inverses of each other in a two-step process. Plug the value of g(x) in every instance of x in f(x), followed by substituting f(x) in g(x). Simplify and check if both result in x.
Equate f(x) with y. Swap x with y in each of the linear functions presented in these printable inverse function worksheets and solve for y, and replace y with the inverse f-1(x) and check.
Nudge your high school learners into a whole new arena of finding the inverse of a function by challenging them with a variety of functions like rational functions, radical functions and logarithmic functions to revisit concepts.
Get ready for spades of practice with these inverse function worksheet pdfs. Observe the graph keenly, where the given output or inverse f-1(x) are the y-coordinates, and find the corresponding input values.
Restricted domains being the primary focus of this batch of inverse function worksheet pdfs, instruct students to find f(x) or f-1(x) by observing the values given as relation mapping diagrams or as tables.