Question Detail

MTH 102 Practice Questions MTH 102 Objective Question

Question

Given f(t)=(4t+1)/(t-2), find f(1/t)
Options
A (4+t)/(1-2t)
Correct Answer
B (4+3t)/(1-2t)
C (3+2t)/(1-2t)
D 4+t
Correct Answer

Option A is the correct answer.

Detailed Explanation

Substitute 1/t for t: f(1/t)=(4/t+1)/(1/t-2). Multiplying top and bottom by t: (4+t)/(1-2t).

Hint

Replace every t in the formula with 1/t, then multiply numerator and denominator by t to clear the fractions.

Question Info