The given function f(x) = 6x + 7.
\The value of function f(q + 1)
\Substitute value f(q + 1) in above function.
\f(q + 1) = 6(q + 1) + 7
\= 6(q) + 6(1) + 7 (Distributive property: a ( b + c) = ab + ac)
\= 6q + 6 + 7 (Multiply: 6(q) = 6q and 6(1) = 6)
\ = 6q + 13 (Add: 6 + 7 = 13)
The value of f(q + 1) = 6q + 13.