Let f(x) = 5x -8 and g(x)=x+1. Find f(g(x)) and g(f(x)).

For f(g(x)), substitute x+1 into function f(x).

f(g(x)) = 5(x+1) - 8. Multiply 5 by x+1

f(g(x)) = 5x + 5 - 8. Combine like terms.

f(g(x)) = 5x - 3

For g(f(x)), substitute 5x-8 into function g(x).

g(f(x)) = (5x-8) + 1. Combine like terms.

g(f(x)) = 5x -7.

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.

x = 3 ± √(5+y)