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The function 𝑚 is given by          𝑚⁡(𝑥)=2⁢tan-1⁡(3⁢𝜋⁢𝑥).Find all values in the domain of 𝑚 that yield an output value of  sin-1⁡(32).

Question

The function 𝑚 is given by          𝑚⁡(𝑥)=2⁢tan-1⁡(3⁢𝜋⁢𝑥).Find all values in the domain of 𝑚 that yield an output value of  sin-1⁡(32).

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Solution

The problem seems to be incomplete. The output value of sin^-1(32) is undefined because the range of the sine function is [-1,1]. Therefore, there are no values in the domain of m that yield an output value of sin^-1(32).

Similar Questions

The functions 𝑔 and ℎ are given by          𝑔⁡(𝑥)=log5⁡(4⁢𝑥-2)          ℎ⁡(𝑥)=sin-1⁡(8⁢𝑥).(i) Solve 𝑔⁡(𝑥)=3 for values of 𝑥 in the domain of 𝑔.

The function 𝑚 is given by           𝑚⁡(𝑥)=3⁢tan⁡(𝑥+𝜋2).Find all values in the domain of 𝑚 that yield an output value of 1.

Give the exact value of sin(𝜋2)

The function 𝑓 is given by 𝑓𝑥=log2𝑥. What input value in the domain of 𝑓 yields an output value of 4 ?

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