What is the inverse of f(x) = 4x + 2? Hw) = 4x+ 2 o h(x) = 4x-2 h(x) = 3x - 2 h(x) = 3x - 6
Mathematics · Middle School · Thu Jan 21 2021
Answered on
Given the function:
f(x) = 4x + 2
Determine the inverse of the function.
Solution:
In order to determine the inverse of the function, we simply need to equate f(x) to y, nterchange the values of x and y, and lastly solve for y.
f(x) = 4x + 2
y = 4x + 2
x = 4y + 2
Transpose 2 on the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
4y = x - 2
Divide both sides by 4 in order to cancel out 4y, leaving behind y.
4y/4 =( x - 2)/4
y = ¼x - ½
Final answer:
y = ¼x - ½