Question

Given f(x)=√x and g(x)=x^4, find g o f and its domain

Answer 1

g o f = g(f(x))

so here, g o f = sqrt(x^4)

=x^2

domain of GoF--> all R.

Answer 2

oops

Answer 3

domain of \(f\) is \(x\geq 0\) and so is the domain of \(g\circ f\)

Answer 4

while it is true that
\[g\circ f(x)=x^2\] the domain is the domain of \(f\)

Answer 5

@satellite73 so it means that even though g 0 f is a totally new function, the constraints from the constituent functions shall apply. right?

Answer 6

yes, if you cannot evaluate \(f\) you cannot evaluate \(g\circ f\)

Answer 7

okay, thanks. and sorry @rose1285 for the wrong info.

Answer 8

since \(g\circ f\) means first do \(f\) then do \(g\)

Answer 9

Thanks so much guys!