Question

Pleasee help meee with this

here is the picture

Answer 1

`h \circ g(x) = √(-x^2 + 4)`

Explanation:

GIven

`g(x) = 7 - x^2\\\\h(x) = √(x - 3)\\\\\textsf{Find}\\h\circ g \textsf{ which is same as }h(g(x))\\\\`

Simply substitute g(x) = 7 - x² for each occurrence of x in h(x)

`h \circ \g = √(7-x^2-3) \\\\ = √(4-x^2)\\\\ = √(-x^2 + 4)`