If f ( x ) = x x + 3 f ( x ) = \frac { x } { x + 3 } f ( x ) = x + 3 x , find f ( s ) f ( s ) f ( s ) .A) f ( s ) = 3 s + 3 f ( s ) = \frac { 3 } { s + 3 } f ( s ) = s + 3 3 B) f ( s ) = s x + 3 f ( s ) = \frac { s } { x + 3 } f ( s ) = x + 3 s C) f ( s ) = s s − 3 f ( s ) = \frac { s } { s - 3 } f ( s ) = s − 3 s D) f ( s ) = x s + 3 f ( s ) = \frac { x } { s + 3 } f ( s ) = s + 3 x E) f ( s ) = s s + 3 f ( s ) = \frac { s } { s + 3 } f ( s ) = s + 3 s

Question

If   f ( x )  = x x + 3 f ( x )  = \frac { x } { x + 3 } f ( x )  = x + 3 x ​   , find   f ( s )  f ( s )  f ( s )    .A)    f ( s )  = 3 s + 3 f ( s )  = \frac { 3 } { s + 3 } f ( s )  = s + 3 3 ​ B)    f ( s )  = s x + 3 f ( s )  = \frac { s } { x + 3 } f ( s )  = x + 3 s ​ C)    f ( s )  = s s − 3 f ( s )  = \frac { s } { s - 3 } f ( s )  = s − 3 s ​ D)    f ( s )  = x s + 3 f ( s )  = \frac { x } { s + 3 } f ( s )  = s + 3 x ​ E)    f ( s )  = s s + 3 f ( s )  = \frac { s } { s + 3 } f ( s )  = s + 3 s ​

Zybrea Knight · Accepted Answer

Final Answer : E, Explanation :   To find   f ( s ) f(s) f ( s )  , substitute   s s s   for   x x x   in the function   f ( x ) = x x + 3 f(x) = \frac{x}{x+3} f ( x ) = x + 3 x ​  , resulting in   f ( s ) = s s + 3 f(s) = \frac{s}{s+3} f ( s ) = s + 3 s ​  .

If $\frac { x } { x + 3 }$ , find $f (s)$ .

A) $\frac { 3 } { s + 3 }$
B) $\frac { s } { x + 3 }$
C) $\frac { s } { s - 3 }$
D) $\frac { x } { s + 3 }$
E) $\frac { s } { s + 3 }$

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