Let fx squareroot x gx x 8 and hx 1x Compute the followin

Let f(x) squareroot x, g(x) = x + 8 and h(x) = 1/x. Compute the following function value. (g - h)(8)

Solution

f(x) = x

g(x) = x +8

h(x) = 1/x

(g - h)(x) = g(x) - h(x)

==> x +8 - 1/x

==> (g - h)(x) = x +8 - 1/x

==> (g - h)(8) = 8 +8 - 1/8

==> (g - h)(8) = 16 - 1/8

==> (g - h)(8) = (128 - 1)/8

==> (g - h)(8) = 127/8