Question
If the function f(x) = mx + b has an inverse function, which statement must be true?
Asked by: USER5595
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84 Answers
Answer (84)
f(x) = mx + b is just equal to the equation
y = mx + b
In order for us to get the inverse function, then we can interchange x to y and y to x
y = mx + b
x = my + b
Then we need to find y
x = my + b
-my = -x + b
my = x - b
y = (x-b) / m
f(x) = (x - b) / m
y = mx + b
In order for us to get the inverse function, then we can interchange x to y and y to x
y = mx + b
x = my + b
Then we need to find y
x = my + b
-my = -x + b
my = x - b
y = (x-b) / m
f(x) = (x - b) / m
Answer:
m ≠ 0
Step-by-step explanation: