Find the indicated value of the function f x squareroot x

Find the indicated value of the function. f (x) = squareroot x + 8 -x - 7 f (squareroot 2 + 7) = Find the indicated value of the given function. (Simplify the answer as much as possible.) h (x) = x^2 + 2/x + 1 h (pi + 3) =

Solution

1) f(x) = sqrt ( x+ 8) - x - 7

f( sqrt 2 + 7 ) = sqrt ( sqrt (2) + 7 + 8 ) - sqrt 2 - 7 - 7

= sqrt ( sqrt 2 + 15 ) - sqrt 2 - 14

2) h(x) = x^2 + 2/x + 1

h(pi + 3) = (pi + 3)^2 + 2/(pi+3) + 1

= {(pi+3)^3 + 2 + pi + 3} / (pi + 3)

= (pi^3 + 9pi^2 + 28pi + 32 ) / (pi+3)