Find the inverse of the functions
f(x)=3x+7
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Find the inverse formula for the function f(x)= 3x-7
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Given the function f(x) = 3x - 7.
We need to find the inverse function f^-1 (x).
First we will rewrite.
Let y = 3x - 7.
The goal is to isolate x on one side.
Now we will add 7 to both sides.
==> y + 7 = 3x - 7 + 7
==> y + 7 = 3x
Now we will divide by 3:
==> (y+ 7) /3 = x
==> x = ( y+ 7) /3
Now we will rewrite x as y and y as x:
==> y= (x+ 7) /3
==> Then the inverse of f(x) = (x+ 7) /3
==> f^-1 ( x) = (x+ 7) /3
Step-by-step explanation:
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