Answer:
( f + g )(x) is x³ + 3x² - 46
Explanation:
Given: f(x) = x² - 36 and g(x) = x³ + 2x² - 10
we have to find ( f + g )(x)
( f + g )(x) = f(x) + g(x) = ( x² - 36 ) + ( x³ + 2x² - 10 )
= x² - 36 + x³ + 2x² - 10
= x³ + (1+2)x² - 36 - 10
= x³ + 3x² - 46
Therefore, ( f + g )(x) is x³ + 3x² - 46