# Solutions to Questions on Inverse Function Values from Tables

The solution to the grade 11 questions on Find the Inverse Function Values from Tables are presented.

## Answer the following questionsUse the table below to find the following if possible: a) g , b) ^{ -1}(0) g , c) ^{ -1}(- 5) g , d) ^{ -1}(-10) g , e) ^{ -1}(-7) g^{ -1}(3) . Solutiona) According to the the definition of the inverse function: a = g if and only if ^{ -1}(0)g(a) = 0 Which means that a is the value of x such g(x) = 0.
Using the table above for x = 11, g(x) = 0. Hence a = 11 and therefore g^{ -1}(0) = 11 b) a = g if and only if ^{ - 1}(- 5) g(a) = - 5The value of x for which g(x) = - 5 is equal to 0 and therefore g^{ -1}( - 5) = 0 c) a = g if and only if ^{ -1}(-10) g(a) = - 10There is no value of x for which g(x) = -10 and therefore g is undefined.
^{ -1}(-10) d) a = g
^{ -1}(- 7) if and only if g(a) = - 7
There no value of x for which g(x) = - 7 and therefore g is undefined.
^{ -1}(- 7)e) a = g if and only if ^{ -1}(3) g(a) = 3
The value of x for which g(x) = 3 is equal to - 2 and therefore g
^{ -1}(3) = - 2 |

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