ALGEBRA 2 question. if f(x) = 3x + 5/x, what is f(a+2)?

f(x) = (3x + 5)/x

f(a + 2) = [3(a + 2) + 5]/(a + 2) ...... The answer is (c)

3(a+2)+5/(a+2)

...

(3(a+2)^2+5)/(a+2)

(3(a^2+4a+4)+5)/(a+2)

(3a^2+12a+12+5)/(a+2)

(3a^2+12a+17)/(a+2)

f(x)=(3x+5)/x
f(a+2)=[3(a+2)+5]/(a+2)

c)

3 (a + 2) + 5 / (a + 2)

This could be C if brackets were properly used !!!!!

f(a + 2) = 3(a + 2) + 5/(a + 2)

This matches neither answer (a) nor (c). Answer (b) has mismatched parentheses, leaving it with no clear interpretation.

c. 3(a+2)+5/a+2
see step by step solution:
https://www.symbolab.com/solver/function-arithmetic-composition-calculator/f%5Cleft(x%5Cright)%3D%5Cfrac%7B3x%20%2B%205%7D%7Bx%7D%2C%20%20f%5Cleft(a%2B2%5Cright)/?origin=enterkey

hope this helps