Answer:
180h + 15h²
Step-by-step explanation:
Since both have same function i.e. function of f, so we simply put 6 + h and 6 in place of x in f(x)
Here,
f(x) = 15x² + 6
Then, f(6+h) - f(6)
= [15(6 + h )² + 6] - [15(6 )² + 6]
⇒ [15 (36 + 12h + h²) + 6] - [15 × 36 + 6]
⇒ [ 15 × 36 + 15 × 12h + 15h² + 6 - 15 × 36 - 6 ]
⇒ 15 × 12h + 15h²
⇒ 180h + 15h²
