SOLUTION: f(x)=3x+4 a) Determine whether the function is one-to-one B) If it is one-to-one, find a formula for inverse

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Question 867193: f(x)=3x+4
a) Determine whether the function is one-to-one
B) If it is one-to-one, find a formula for inverse

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
a) f(x) = 3x +4
this function is 1-1 with domain and range the real numbers, R
the graph confirms each member in the domian is associated with a unique member in the range
+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+3x%2B4%29+
b) y = 3x+4
x = (y-4) / 3
now interchange the x and y
y = (x-4) / 3
f'(x) = (x-4) / 3