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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.

Question

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.
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Solution 1

To solve the equation g(x) = 3, we first need to understand that g(x) = log5(4x - 2).

So, we have:

log5(4x - 2) = 3

The next step is to convert the logarithmic equation into an exponential one. The base of the logarithm becomes the base of the power, the right hand side of the equation becomes t Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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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.

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Which function defines (𝑓÷𝑔)⁢(𝑥) ?𝑓⁡(𝑥)=(3.6)𝑥+2𝑔⁡(𝑥)=(3.6)3⁢𝑥+1 A. (𝑓÷𝑔)⁢(𝑥)=(3.6)-2⁢𝑥+1 B. (𝑓÷𝑔)⁢(𝑥)=(3.6)4⁢𝑥+3 C. (𝑓÷𝑔)⁢(𝑥)=(1.8)3⁢𝑥2+7⁢𝑥+2 D.

Compare the graphs of 𝑓(𝑥)𝑓(𝑥) and 𝑔(𝑥)𝑔(𝑥). Find the value of ℎℎ and 𝑘𝑘.Enter your answers as integers: ℎ=ℎ=Answer 1 Question 9 and 𝑘=𝑘=Answer 2 Question 9

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