The composite function (f + g)(x) is (f + g)(x) = 3x³ - 2x² + 10x - 12
How to evaluate the composite function
From the question, we have the following parameters that can be used in our computation:
f(x) = 3x³ - 2x² + 4x - 5
Also, we have
g(x) = 6x - 7
The composite function (f + g)(x) is calculated using
(f + g)(x) = f(x) + g(x)
Substitute the known values into the equation
(f + g)(x) = 3x³ - 2x² + 4x - 5 + 6x - 7
Evaluate
(f + g)(x) = 3x³ - 2x² + 10x - 12
hence, the composite function is (f + g)(x) = 3x³ - 2x² + 10x - 12
Question
f(x)=3x3-2x2+4x-5
G(x)=6x-7
Find (f + g)(x)