eric096
Answered

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1. Determine the inverse of y=2(3)^x+1
2. convert 1600 degree to radian measure, in term of x radian.

Sagot :

konrad509
[tex]f(x)=2\cdot3^x+1\\ y=2\cdot3^x+1\\ 2\cdot 3^x=y-1\\ 3^x=\frac{y-1}{2}\\ x=\log_3\frac{y-1}{2}\\ f^{-1}(x)=\log_3\frac{x-1}{2}\\ [/tex]

[tex]\alpha_{\text{rad}}=\alpha_{\text{deg}}\cdot\frac{\pi}{180}\\ \alpha_{\text{rad}}=1600\cdot\frac{\pi}{180}\\ \alpha_{\text{rad}}=\frac{80}{9}\pi\approx27.9 [/tex]
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