ANSWER
f(g(1)) = 11
Step-by-step explanation
We are given that:
f(x) = 2x + 7
and
g(x) = -3x + 5
We want to find f(g(1)).
To do this, we have to find the value of g(x) when x = 1 and then put that value into f(x):
g(x = 1) = g(1) = -3(1) + 5
g(1) = -3 + 5
g(1) = 2
Now, put x = 2 in f(x):
f(g(1)) = f(x = 2) = f(2) = 2(2) + 7
f(g(1)) = 4 + 7
f(g(1)) = 11