If f(x)=x^4+4, g(x)=x-1 and h(x)=x, then f(g(h(x)))=?

This is compound and inverse functions.

1 Answer
Apr 10, 2018

#f(x)=x^4+4# #color(white)(wwwww# # g(x)=x-1# #color(white)(wwwww# #h(x)=x#

We need to find, #f(g(h(x)))#

#=> f(g(x))# #color(white)(wwwowwwww# #["as "h(x)=x]#

#=> f(x-1)# #color(white)(wwwwwwww# #["as "g(x)=x-1]#

#=> (x-1)^4 +4# #color(white)(wwowww# #["as "f(x)=x^4+4]#