[tex]\bf \begin{cases} f(x)=&10x+25\\ g(x)=&x+8 \end{cases}~\hspace{5em} \begin{array}{llll} f(~~g(x)~~)=&10[g(x)]+25\\\\ f(~~g(x)~~)=&10[x+8]+25\\\\ f(~~g(x)~~)=&10x+80+25\\\\ f(~~g(x)~~)=&10x+105 \end{array}[/tex]
Answer:
f(g(x)) = 10x + 105
Step-by-step explanation:
Start with f(x) = 10x + 25. Replace this x with (x + 8), which is g(x):
f(g(x)) = 10(x + 8) + 25, or
= 10x + 80 + 25, or 10x + 105
f(g(x)) = 10x + 105
