Question

F(x) = 6 - x and g(x) = x/3 + 8 .Simplify f(2x) + g(3x + 9)

Answer 1

Answer:

= 17 - x

Explanation:

To simplify f(2x) + g(3x + 9), we need to first find the values of f(2x) and g(3x + 9), and then add them together.

f(2x) means we substitute 2x for x in the equation for f(x) = 6 - x:

f(2x) = 6 - (2x) = 6 - 2x

g(3x + 9) means we substitute 3x + 9 for x in the equation for g(x) = x/3 + 8:

g(3x + 9) = (3x + 9)/3 + 8 = x + 3 + 8 = x + 11

Now we can add f(2x) and g(3x + 9):

f(2x) + g(3x + 9) = (6 - 2x) + (x + 11) = 17 - x

Therefore, f(2x) + g(3x + 9) simplifies to 17 - x.

Answer 2

18 - x

Explanation:

f(x) = 6 - x

g(x) = x/3 + 8

f(2x) = 6 - (2x) => 6 - 2x

g(3x + 9) = (3x+9)/3 + 9 = x + 3 + 9 => x + 12

(6 - 2x) + (x + 12)

Simplified:

18 - x