Answer:
The value of the f (3 +h) is h² + 9h + 23 .
Option (B) is correct.
Step-by-step explanation:
As the function given in the question be
f(x)= x² + 3x + 5
Now
f(3 +h )= (3 +h )²+3(3 + h)+5
Now by using the formula
(a + b)² = a² + b² + 2ab
f(3 +h )= 3² + h² + 2 × 3 × h +3 × 3 + 3 ×h +5
f(3 +h )= 9 + h² + 6h + 9 + 3h +5
f(3 +h )= h² + 9 + 9 + 5 + 3h + 6h
f(3 +h )= h² + 9h + 23
Therefore the value of the f (3 +h) is h² + 9h + 23 .
Option (B) is correct.
