\((f\circ g)(-4)=f(\,g(-4)\,)\)
f(x) = 4x + 7 Replace every instance of x with g(-4) .
f( g(-4) ) = 4( g(-4) ) + 7
And.....
g(x) = 3x - 5 Replace every instance of x with -4 .
g(-4) = 3(-4) - 5 Simplify.
g(-4) = -17
f( g(-4) ) = 4( g(-4) ) + 7 On the right side, replace g(-4) with -17
f( g(-4) ) = 4( -17 ) + 7 Simplify.
f( g(-4) ) = -61
\((f\circ g)(-4)=f(\,g(-4)\,)\)
f(x) = 4x + 7 Replace every instance of x with g(-4) .
f( g(-4) ) = 4( g(-4) ) + 7
And.....
g(x) = 3x - 5 Replace every instance of x with -4 .
g(-4) = 3(-4) - 5 Simplify.
g(-4) = -17
f( g(-4) ) = 4( g(-4) ) + 7 On the right side, replace g(-4) with -17
f( g(-4) ) = 4( -17 ) + 7 Simplify.
f( g(-4) ) = -61