Answer:
f(h(-1)) = -2.5
Step-by-step explanation:
We are given:
f(x) = (x - 3)/4
h(x) = 3x - 4
Knowing this, first find h(-1).
h(-1) = 3(-1) - 4
Multiply 3 and -1.
h(-1) = -3 - 4
Subtract 4 from -3.
h(-1) = -7
Now knowing this evaluate the function out.
f(h(-1)) = f(-7)
Evaluate f(-7).
f(x) = (x - 3)/4
Substitute variable.
f(-7) = ((-7) - 3)/4
Subtract 3 from -7.
f(-7) = (-10)/4
Divide -10 by 4.
f(-7) = -2.5
This means that f(h(-1)) = -2.5.
