[Function Composition] could someone help me with this answers or show work either is fine

2a+7

Step-by-step explanation:

Given the functions

f(a) = 2a-3

g(a) = a+5

We are to find fog(a)

fog = f(g(a))

f(g(a)) = f(a+5)

Replace a with a+5 in f(a)

f(a+5) = 2(a+5)-3

f(a+5) = 2a+10-3

f(a+5) = 2a+7

Hence (fog)(a) is 2a+7

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'.