The value of the composite function (f + g)(4) is -13
How to evaluate the composite function?
From the question, we have the following functions:
f(x) = x^3 + x^2 + 1
g(x) = -6x^2 + 2
To calculate the composite function (f + g)(4), we make use of the following formula
(f + g)(4) = f(4) + g(4)
This gives
(f + g)(x) = x^3 + x^2 + 1 -6x^2 + 2
Substitute 4 for x in the above equation
(f + g)(4) = 4^3 + 4^2 + 1 - 6 * 4^2 + 2
Evaluate the exponents
(f + g)(4) = 64 + 16 + 1 - 96 + 2
Evaluate the like terms
(f + g)(4) = -13
Hence, the value of the composite function (f + g)(4) is -13
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Complete question
Let f(x) = x^3 + x^2 + 1 and g(x) = -6x^2 + 2.
Calculate (f + g)(4)
