If f(x)=2x+3 and g(x)=5x-6, what does f(g(x))= ?

f(g(x) =

put in the function g(x) in for x in the function f(x)

f(g(x) = 2(g(x)) +3

substitute 5x-6 for g(x)

       = 2 (5x-6) +3

distribute

       = 10x -12 +3

combine like terms

       = 10x-9

f(g(x) =  = 10x-9

step-by-step explanation: yes

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.