The output value of g( -4 ) in the function g(x) = -2x² + 10 is -22.
To determine the output value of g( -4 ), simply substitute x with -4 and simplify.
Given the function in the question:
g(x) = -2x² + 10
g( -4 ) =?
g(x) = -2x² + 10
Substitute x with -4 and simplify:
g( -4 ) = -2( -4 )² + 10
Take the square of -4:
g( -4 ) = -2( 16 ) + 10
Multiply -2 and 16:
g( -4 ) = -32 + 10
Now, add -32 and 10:
g( -4 ) = -22
Therefore, the output value of g( -4 ) is -22.