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Answer :
The composition f(4) has a value of -27
How to evaluate the function composition?
The definition of the functions is given as
f(x) = -2x^2 + 5
Rewrite the above function properly
So, we have the following representation
f(x) = -2x² + 5
To find the function f(4), we set the value of x in the equation f(x) = -2x² + 5
This is represented by
Calculate f(x), when x = 4
Substitute 4 for x in the equation f(x) = -2x² + 5
So, we have the following equation
f(4) = -2(4)² + 5
Evaluate the exponents
This gives
f(4) = -2 * 16 + 5
Evaluate the products
This gives
f(4) = -32 + 5
Evaluate the sum
f(4) = -27
Hence, the value of the function is -27
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