If f(x) = A(x−B)^3, where AB≠0, what is value of x for which f(x) = 1?

Question

If  f(x) = A(x−B)^3 , where  AB≠0 , what is value of x for which  f(x) = 1 ?

A.  B - \sqrt {A}

B.  B - \frac{1}{\sqrt {A}}

C.  B + \sqrt {A}

D.  -B + \frac{1}{\sqrt {A}}

E.  B + \frac{1}{\sqrt {A}}

yashikaaggarwal · Answer

F(x) = A(x-B)^3 
For which value f(x) will be equal to 1
That means 
A(x-B)^3 = 1
(x-B)^3 = 1/A
Taking cube root on both sides.
(X-B) = 1/³√A
X = B+1/³√A

Verification: put X = B+1/³√A
F(x) = A(x-B)^3
F(x) = A(B+1/³√A-B)^3
F(x) = A(1/A)
F(x) = 1

Answer is E

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thyagi · Answer

Given = F(x) = A(x-B)^3
F(x) = 1
x=?

since F(x)=1, we can substitute this value in the equation F(x) = A(x-B)^3
therefore A(x-B)^3=1
(x-B)^3 = 1/A
(x-B) = ∛(1/ A)
x-B = 1/∛A
x = (1/∛A) + B

hence the correct choice is option E.

rimco2552 · Answer

We can also take the approach as follows:

1. For f(x) = 1, we need the expression in the bracket to be equal to 1/A.
2. (x-B)^3, looking at the expression we need +B to negate B and rest in as the cube root of 1/A.
3. Hence the answer is B+1/(A)^1/3 (Option E)

This solution might be a different approach but saves

vipulshahi · Answer

f(x) = A (x - B)^3 ; A*B not equal to "0" 
x= ? when f(x) = 1

f(x) = A(x- B)^3 = 1 
=> (x-B)^3 = 1/ A
=> x-B = 1 / (A)^1/3
=> x = 1/ (A)^1/3 + B

Answer : E

manikmehta95 · Answer

If f(x)=A(x−B)^3, where AB≠0, what is value of x for which f(x)=1?

A. B−A√3B−A3

B. B−1A√3B−1A3

C. B+A√3B+A3

D. −B+1A√3−B+1A3

E. B+1A√3

SOL: given: a, b != 0 and f(x)=1

f(x) = A(x-B)^3 = 1 
=> (x-B)^3 = 1/A (taking cube root on both sides)
=> (x-B) = (1/A)^1/3
=> x = B + (1/A)^1/3

Ans is E

ScottTargetTestPrep · Answer

Solution:

A(x - B)^3 = 1

(x - B)^3 = 1/A

x - B = 3^√(1/A)

x = B + 3^√(1/A) = B + 1/(3^√A)

Answer: E

Kinshook · Answer

Asked: If  f(x) = A(x−B)^3 , where  AB≠0 , what is value of x for which  f(x) = 1 ?

f(x) = A(x-B)^3 = 1 
 (x-B)^3 = 1/A 
 x = B + \frac{1}{\sqrt {A}

IMO E

BlueRocketAsh · Answer

f(x) = A(x−B)^3=1 
 (x−B)^3=\frac{1}{A} 
 x−B=\frac{1}{\sqrt {A}} 
 x=B-\frac{1}{\sqrt {A}}

Answer E

If f(x) = A(x−B)^3, where AB≠0, what is value of x for which f(x) = 1?

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GMAT Problem Solving (PS) Questions

If f(x) = A(x−B)^3, where AB≠0, what is value of x for which f(x) = 1?

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

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My Rewards