If f ( x ) = x + 7 and g ( x ) = 7 x , what is

Question

If f &#x00028; x &#x00029; &#x0003D; x &#x0002B; 7 and g &#x00028; x &#x00029; &#x0003D; 7 x , what is the value of 4 f &#x00028; 2 &#x00029; &#x02212; g &#x00028; 2 &#x00029; ?

Accepted Answer

Choice C is correct. The value of f ( 2 ) can be found by substituting 2 for x in the given equation f x = x + 7 , which yields f 2 = 2 + 7 , or f 2 = 9 . The value of g 2 can be found by substituting 2 for x in the given equation g x = 7 x , which yields g 2 = 7 2 , or g 2 = 14 . The value of the expression 4 f 2 - g 2 can be found by substituting the corresponding values into the expression, which gives 4 ( 9 ) &#8722; 14 . This expression is equivalent to 36 - 14 , or 22 . Choice A is incorrect. This is the value of f 2 - g 2 , not 4 f 2 - g 2 . Choice B is incorrect and may result from calculating 4 f 2 as 4 ( 2 ) + 7 , rather than 4 ( 2 + 7 ) . Choice D is incorrect and may result from conceptual or calculation errors.

Question if-f-x