Verified answer

When solving these, you want to solve the inside function first.

g(-4) = (-4) - 2

= -6

g(-4) = -6 therefore:

f[g(-4)] = f(-6)

f(-6) = 2(-6) - 4

= -12 - 4

= -16

g(x) = x − 2, so g(−4) = −4 − 2 = −6.

f(x) = 2x − 4, so f[g(x)] = 2(g(x)) − 4.

Therefore f[g(−4)] = 2(−6) − 4 = −12 − 4 = −16.

let's solve the g(x) eq 1st by placing -4 instead of x in the eqn sooo -4-2= -6

now the value we get will be substituted instead of x in the f(x) eqn soo 2(-6)-4=-16

Summary:

g(-4)=-6

f[g(-4)]= -16

g(x) = x-2

g(-4) = -4-2 = -6

f[g(-4)] =2(-6) -4

=-12-4

= -16 .............Ans