Answer:
-6
Step-by-step explanation:
Solve the expression with the given information.
They gave us what f(x) and g(x) are, we just need to evaluate them.
We also know that x = -2, so we would be plugging that to "x" in g(x).
Solve:
f(g(x)) - f(0)
Plug in the g(x) expression into "x" of the f(x) expression.
2(4x) + 5 - f(0)
Plug in -2 to x and solve.
2(4(-2)) + 5 - f(0)
2(-8) + 5 - f(0)
-16 + 5 - f(0)
-11 - f(0)
Evaluate f(0) by plugging in 0 to "x" in the f(x) expression.
-11 - 2(0) + 5
Simplify.
-11 + 5
-6
Your answer would be -6.
