Answer:
74
Step-by-step explanation:
We have f(x) = 3x + 5 and g(x) =-4x + 7
[tex](f \circ \: g)(x) = f(g(x))[/tex]
[tex](f \circ \: g)(x) = f( - 4x + 7)[/tex]
[tex](f \circ \: g)(x)= 3( - 4x + 7) + 5[/tex]
[tex](f \circ \: g)(x) = -12x + 21+5[/tex]
[tex](f \circ \: g)(x) = -12x + 26[/tex]
We now substitute x=-4 to obtain:
[tex](f \circ \: g)( - 4) = -12 \times - 4+ 21+ 5[/tex]
[tex](f \circ \: g)( - 4) = 48+ 26 = 74[/tex]
The required value is 74
