Calculate an f(x) & g(x)?

Question

Given that f(x)=8x+6 and g(x)=1-x^2, calculate

(a) f(g(0)) =

(b) g(f(0)) =

Answer 1

Given that the functions are f(x)=8x+6 and g(x)=1-x^2.

To find the values of f(g(0)) and g(f(0)).

a. f(g(0)) = f(1-(0)^2)

f(g(0)) = f(1)

f(g(0)) = 8(1)+6

f(g(0)) = 14

b. g(f(0)) = g( 8×0+6)

g(f(0)) = g(6)

g(f(0)) = 1-(6)^2

g(f(0)) = 1-36

g(f(0)) = -35

Hence the values of f(g(0)) =14 and g(f(0))=-35.

Answer 2

(a) f(g(0)) = f(1) = 14;

(b) g(f(0)) = g(6) = 1 - 36 = - 35