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
Answer:
f'(x)= 2x - 14
Step-by-step explanation:
change f(x) to y y = 1/2x + 7
switch x and y x = 1/2y + 7
multiply everything by 2 to cancel the denominator 2x = y + 14
solve for y 2x - 14 = y
then change y to f'(x) f'(x) = 2x - 14
