Question

given that $f(x) = 2x - 8$ and $g(x) = 2 - x^2$, calculate (a) $f(g(0))=$ (b) $g(f(0))=$ question help: message instructor calculator

Explanation:

Step1: Calculate $g(0)$

$g(0)=2-0^2=2$

Step2: Calculate $f(g(0))=f(2)$

$f(2)=2\times2 - 8=4-8=-4$

Step3: Calculate $f(0)$

$f(0)=2\times0 - 8=-8$

Step4: Calculate $g(f(0))=g(-8)$

$g(-8)=2-(-8)^2=2-64=-62$

Answer:

(a) $-4$
(b) $-62$