1. Determine the inverse of \( y = 2(3)^{x+1} \).
2. Convert 1600 degrees to radian measure, in terms of \( \pi \) radians.
Answer (2)
f ( x ) = 2 ⋅ 3 x + 1 y = 2 ⋅ 3 x + 1 2 ⋅ 3 x = y − 1 3 x = 2 y − 1 x = lo g 3 2 y − 1 f − 1 ( x ) = lo g 3 2 x − 1
α rad = α deg ⋅ 180 π α rad = 1600 ⋅ 180 π α rad = 9 80 π ≈ 27.9
The inverse of the function y = 2 ( 3 ) x + 1 is f − 1 ( y ) = lo g 3 ( 2 y ) − 1 . For the conversion, 1600 degrees is equal to 9 80 π radians.
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