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| Find The Inverse Function from Tables - Questions With Solutions | ||
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Find The Inverse Function from Tables |
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ExamplesUse the table below to find the following if possible:a) f -1(- 4) , b) f -1(6) , c) f -1(9) , d) f -1(10) , e) f -1(-10) . 
Solutiona) According to the the definition of the inverse function: a = f -1(- 4) if and only if - 4 = f(a) ,
Which means that a is the value of x such f(x) = - 4. Using the table below for x = 6, f(x) = - 4. Hence a = 6 and therefore f -1(- 4) = 6 b) a = f -1(6) if and only if f(a) = 6 There is no value of x for which f(x) = 6 and therefore f -1(6) is undefined. c) a = f -1(9) if and only if f(a) = 9 The value of x for which f(x) = 9 is equal to - 4 and therefore f -1(9) = - 4 d) a = f -1(10) if and only if f(a) = 10 There is no value of x for which f(x) = 10 and therefore f -1(10) is undefined.
e) a = f -1(-10) if and only if f(a) = - 10 The value of x for which f(x) = -10 is equal to 8 and therefore f -1(-10) = 8
More Questions with Solutions
Use the table below to find the following if possible:
a) According to the the definition of the inverse function: 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 - 1(- 5) if and only if g(a) = - 5 The value of x for which g(x) = - 5 is equal to 0 and therefore g -1( - 5) = 0 c) a = g -1(-10) if and only if g(a) = - 10 There is no value of x for which g(x) = -10 and therefore g -1(-10) is undefined. 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 -1(- 7) is undefined. e) a = g -1(3) if and only if 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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