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If f(z) = 2z+1, then which of the following can be the value of x for which  f(1)∗f(2x)=f(x−1)∗{f(4)+f(−1)}−f(1)?
  • a)
    -3
  • b)
    -2
  • c)
    -1/8
  • d)
    1/8
  • e)
    4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If f(z) = 2z+1, then which of the following can be the value of x for ...
Given:
f(z) = 2z+1
To find: The value (out of the 5 given options) of x for whichf(1)∗f(2x)=f(x−1)∗{f(4)+f(−1)}−f(1)
 
Approach:
  1. Our first step will be to use the definition of f(z) to find the value of each function term in the given equation (for example, the value of f(1), f(2x) etc.)
  2. Then, by substituting these values in the equation, we’ll get an equation in terms of x.
  3. Upon solving this equation, we’ll get the roots of the equation. These are the values of x that satisfy the given equation.
Working Out:
  • Finding the values of all function terms in the equation
  • Solving the equation in terms of x
  • Getting to the answer
Looking at the answer choices, we see that only the value in Option A corresponds to one of the roots we found. So, the correct answer is Option A
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Question Description
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