What is the inverse opperation of f (x)= x+2/3x-4

Given the function:

Step 1: Replace f(x) by y;

Step 2:  Interchange the variables x and y.

Step 3: Solve for y in terms of x;

Using distributive property:  

Add 4x to both sides we get;

⇒

Step 4: Replace y with

Therefore, the inverse operation of a given function is:

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: