Consider the following functions. f(x)=9/xg(x)= 11/x+11. Find (f+g)(x)

Question

asked Oct 9, 2024 203k views

1 Answer

Justin Noel · Answer 1 · 2024-10-13T05:28:43+0000

Answer:

(f + g )(x) =
(20x+99)/(x(x+11))

Explanation:

(f + g )(x)

= f(x) + g(x)

=
(9)/(x) +
(11)/(x+11)

before adding we require the fractions to have a common denominator

multiply numerator and denominator of first fraction by (x + 11)

multiply the numerator and denominator of second fraction by x

=
(9(x+11))/(x(x+11)) +
(11x)/(x(x+11))

add the numerators over the common denominator

=m
(9x+99+11x)/(x(x+11))

=
(20x+99)/(x(x+11))