The function f is defined by f x = 9 7 x + 8 7 . For what value of

Question

The function f is defined by f x = 9 7 x + 8 7 . For what value of x does f x = 5 ?

Accepted Answer

The correct answer is 3 . Substituting 5 for f x in the given function yields 5 = 9 7 x + 8 7 . Multiplying each side of this equation by 7 yields 7 5 = 7 9 7 x + 8 7 , or 35 = 9 x + 8 . Subtracting 8 from each side of this equation yields 27 = 9 x . Dividing each side of this equation by 9 yields 3 = x . Therefore, f x = 5 when the value of x is 3 .

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