Find the inverse of function f.
f(x) = 1 /2x+7
1 answer:
Answer:
f^-1/2(x)=x/1/2-7/2
Step-by-step explanation:
Replace f(x) with y
Y=1/2x+7
Interchange the variable
X=1/2y+7
Solve For y
Rewrite the equation as
1/2y+7=x
Add -7 to both side
1/2y+7-7=x-7
1/2y=x-7
Divide each term with 1/2
1/2y/1/2=x/1/2-7/1/2
Y=x/1/2-7/2
Solve for hand replace with f^-1/2(x)
f^-1/2(x)=x/1/2-7/2
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