What is the midline equation of the function g(x) = - sin(8x - 3) +5?

Question: g(x)=-sin(8x-3)+5.

Steps below and the answer below

Step-by-step explanation:

Step 1

Given that

Trigonometry homework question answer, step 1, image 1

Step 2

Write the equation in the below standard form

Trigonometry homework question answer, step 2, image 1

Here |A| is the amplitude, C is the horizontal shift towards positive direction, 2π/B is the period and y = D is the Mid-line.

Step 3

Mid-line is line between the crest and trough, it is also called as equilibrium line.

Amplitude is distance of crest from the mid-line.

Hope this helps.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!