turkey-yks 2020 Q13

turkey-yks · Other · yks-ayt Composite & Inverse Functions Recover a Function from a Composition or Functional Equation

Let $a$ and $b$ be non-zero integers. A function $f$ is defined on the set of real numbers as
$$f ( x ) = a x + b$$
$$( f \circ f ) ( x ) = f ( x + 2 ) + f ( x )$$
According to this, what is the value of $f(3)$?
A) 7
B) 8
C) 9
D) 10
E) 11

Let $a$ and $b$ be non-zero integers. A function $f$ is defined on the set of real numbers as

$$f ( x ) = a x + b$$

$$( f \circ f ) ( x ) = f ( x + 2 ) + f ( x )$$

According to this, what is the value of $f(3)$?\\
A) 7\\
B) 8\\
C) 9\\
D) 10\\
E) 11

Paper Questions

Q1 Q2 Q3 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 Q25 Q26 Q27 Q29 Q31 Q33 Q34 Q35 Q36 Q37 Q38 Q39 Q40