Question

the domains of f(x)=5x+ 8 and g(x) 7-9x

Answer 1

hw is asking for domains of f, g, fg, ff, f/g g/f

Answer 2

also for (fg)(x), gf(x), f/g(x), g/f(x)

Answer 3

in interval notation

Answer 4

so rephrased, the question is asking what values of x will satisfy the following situations?

Answer 5

f(x) all values of x will give a value for f(x) so
{x: -infinity <x< infinity}

f(x)=5x+ 8 and g(x) 7-9x
g f(x)= 7 - 9(5 x + 8) = 7 -45 x -72 = -45x - 65
{x: x>-13/9}