If f(x)=x^2+3x+5, what is f(3+h)
a.(x^2+3x+5)(3+h)
b. h^2+9h+23
c.(3+h)^2+8+h
d. h^2+h+23

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.

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

hope this : )