SOLUTION: Let f(x)= 2x^2 -x +1 and g(x)= SQUARE ROOT OF(5-x).... Find and simplify each of the following: 1) g(-19) 2) g^-1(x) 3) (f o g)(4) 4) g^-1(1)

Question 563359: Let f(x)= 2x^2 -x +1 and g(x)= SQUARE ROOT OF(5-x).... Find and simplify each of the following:
1) g(-19)
2) g^-1(x)
3) (f o g)(4)
4) g^-1(1)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Let f(x)= 2x^2 -x +1 and g(x)= SQUARE ROOT OF(5-x).... Find and simplify each of the following:
1) g(-19) = sqrt(5+19) = sqrt(24)
-------------------------------------
2) g^-1(x)
Given y = sqrt(5-x)
Interchange x and y:
x = sqrt(5-y)
5-y = x^2
y = 5-x^2
g^-1(x) = 5-x^2
-------------------------------------
3) (f o g)(4) = f[g(4)] = f[sqrt(1)] = 1 = 2-1+1 = 2
-------------------------------------
4) g^-1(1)
g^-1(1) = 5-1^2 = 4
===========================
Cheers,
Stan H.
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