What is the inverse of the function f(x) = 2x – 10? h(x) = 2x – 5 h(x) = 2x + 5 h(x) = one-halfx – 5 h(x) = one-halfx + 5
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the function:
f(x) = 2x - 10
Determine the inverse of the function.
Solution:
In order to determine the inverse of the function we simply need to equate the f(x) to y then interchange x, and y, then solve for y.
f(x) = 2x - 10
y = 2x - 10
x = 2y - 10
Transpose -10 to the opposite side of the equation, hence it must be taken t note that in transposing a number the sign changes.
2y = x + 10
Divide 2 on both sides of the equation, in order to determine the value of y.
2y/2 = (x + 10)/2
y = ½x + 5
Final answer:
y = ½x + 5