Practice problem
If f(x)=x4+6f(x)=x^4+6f(x)=x4+6, g(x)=x−6g(x)= x-6g(x)=x−6, and h(x)=xh(x)=\sqrt xh(x)=x, find f(g(h(x)))f(g(h(x)))f(g(h(x)))
f(g(h(x)))=(x1/2+6)4−6f(g(h(x)))=(x^{1/2}+6)^4-6f(g(h(x)))=(x1/2+6)4−6
f(g(h(x)))=x2−12x1/2+42f(g(h(x)))=x^2-12x^{1/2}+42f(g(h(x)))=x2−12x1/2+42
f(g(h(x)))=(x1/2−6)4+6f(g(h(x)))=(x^{1/2}-6)^4+6f(g(h(x)))=(x1/2−6)4+6
f(g(h(x)))=x2−(6)4+6f(g(h(x)))=x^2-(6)^4+6f(g(h(x)))=x2−(6)4+6
Type a concept, like “slope” or “photosynthesis”.