SOLUTION: 1. If f(x)=x^2+2, find f^-1(3) A. +-1 B. +-sqrt3 C. 11 D. 3 2. Identify the inverse of the function f(x)=-7x+2 A. 1/(7x-2) B. (2-x)/7 C. (X-2)/7 D. 1/(2-7x) I don't k

Question 890199: 1. If f(x)=x^2+2, find f^-1(3)
A. +-1
B. +-sqrt3
C. 11
D. 3
2. Identify the inverse of the function f(x)=-7x+2
A. 1/(7x-2)
B. (2-x)/7
C. (X-2)/7
D. 1/(2-7x)
I don't know how to do these. Please help!
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Generally to find the inverse of a function you solve for x and then replace x with y and y with x. So, here we go,
1. y = x^2+2
x^2 = y -2
x = square root (y-2)
f^-1(x) = square root (x-2)
f^-1(3) = square root (3-2)
f^-1(3) = + or - 1
answer is A
2. Identify the inverse of the function f(x)=-7x+2
y = -7x +2
7x = (2-y)
x = (2-y) / 7
f^-1(x) = (2-x) / 7
answer is B

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