The function f is defined by f x = x + 15 5 , and f a = 10 ,

Question

The function f is defined by f x = x + 15 5 , and f a = 10 , where a is a constant. What is the value of a ?

Accepted Answer

Choice C is correct. It's given that f x = x + 15 5 and f a = 10 , where a is a constant. Therefore, for the given function f , when x = a , f x = 10 . Substituting a for x and 10 for f x in the given function f yields 10 = a + 15 5 . Multiplying both sides of this equation by 5 yields 50 = a + 15 . Subtracting 15 from both sides of this equation yields 35 = a . Therefore, the value of a is 35 . Choice A is incorrect. This is the value of a if f a = 4 . Choice B is incorrect. This is the value of a if f a = 5 . Choice D is incorrect. This is the value of a if f a = 16 .

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