Let the function be represented by f(x).
Multiplying the number x by 4 results in 4x. Subtracting 2 from results give 4x - 2. So the function becomes:
f(x) = 4x - 2
Finding the inverse function:
Replace f(x) by y, and isolate x on one side of the equation and find the inverse:
[tex] y = 4x - 2\\\\
y + 2 = 4x\\\\
x = \frac{1}{4}(y + 2)\\ \\
f^{-1}(y)=\frac{1}{4}(y + 2)\\ \\
f^{-1}(x)=\frac{1}{4}(x + 2) [/tex]
Yes the inverse function represents the reverse process. Original function involved multiplication by 4 and then subtraction of 2. Inverse function involves addition of 2 and then division by 4. So the inverse represents the reverse of the given process.
Answer:
Let the function be represented by f(x).
Multiplying the number x by 4 results in 4x. Subtracting 2 from results give 4x - 2. So the function becomes:
f(x) = 4x - 2
Finding the inverse function:
Replace f(x) by y, and isolate x on one side of the equation and find the inverse:
Yes the inverse function represents the reverse process. Original function involved multiplication by 4 and then subtraction of 2. Inverse function involves addition of 2 and then division by 4. So the inverse represents the reverse of the given process.
