Question

please please i have 6 college alg problems i need help with! im adding a picture

Answer 1

first step is to get rid of the circle and write
\[f\circ g(x)=f(g(x))\] this is always the first step, not matter what the functions are

Answer 2

second step is to replace the general \(g(x)\) by the specific one you have
in this case it would be
\[f(g(x))=f(10-5x)\]

Answer 3

third step is to replace the \(x\) in \(f(x)\) by whatever you see,
so for this one
\[f(\spadesuit)=7\spadesuit -7\] andso
\[f(10-5x)=7(10-5x)-7\]

Answer 4

last step is to clean up \(7(10-5x)-7\) with some algebra,
distribute the \(7\), combine like terms, etc