Given f(x) = -3x + 3 and x = 2r ln (4s). Find fr (3, 3). Give your answer correct to two decimal places.
Question
Given the function:
f(x) = -3x + 3
and the equation:
x = 2r ln (4s)
Find fr(3, 3).
Give your answer correct to two decimal places.
Solution
To find fr(3,3), we first need to find the value of x when r=3 and s=3.
Given x = 2r ln(4s), we substitute r=3 and s=3 into the equation:
x = 23ln(43) = 6ln(12) ≈ 13.86
Next, we substitute x = 13.86 into the function f(x) = -3x + 3:
f(x) = -3*13.86 + 3 = -41.58 + 3 = -38.58
So, fr(3,3) = -38.58.
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