Answer:
When f(x) = 3x - 3 and g(x) = 2x - 3,
f(3) - g(5) + 12 = 11.
Explanation:
Given:
f(x) = 3x - 3
g(x) = 2x - 3
First solve f(3).
f(x) = 3x - 3
Substitute input value.
f(3) = 3(3) - 3
Multiply 3 and 3.
f(3) = 9 - 3
Subtract 3 from 9.
f(3) = 6
Next, solve g(5).
g(x) = 2x - 3
Substitute input value.
g(5) = 2(5) - 3
Multiply 2 and 5.
g(5) = 10 - 3
Subtract 3 from 10.
g(5) = 7
Knowing these values, solve the expression.
f(3) - g(5) + 12
Replace functions with their values.
6 - 7 + 12
Subtract 7 from 6.
(-1) + 12
Add -1 and 12.
11.