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.

(x+3)(x+7)

step-by-step explanation:

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).