Question

Question 12 of 25
If f(x) = x² + 3x + 5, what is f( 3 + h)?

Answer 1

`f(3+h) = h^2 +9h + 23`

Explanation:

`\text{Given that,}\\\\f(x) = x^2 +3x +5\\\\f(3+h) = (3+h)^2 +3(3+h) + 5\\\\~~~~~~~~~~~~=3^2 +2\cdot 3 \cdot h + h^2 +9+3h +5\\\\~~~~~~~~~~~~=9+ 6h +h^2 +14+3h\\\\~~~~~~~~~~~~=h^2 +9h + 23`