Question

Please help em fast I really need help

Answer 1

Answer:

f[g(2)] = 50

Step-by-step explanation:

Given functions:

$f(x)=2(x+1)^2$

$g(x)=3x-2$

We are asked to determine f[g(2)], which is known as a composite function. When solving composite functions, you always work inside out.

Step 1: Find the value of g(2) by substituting 2 for x in function g(x).

$\implies g(2)=3(2)-2$

$\\\implies g(2)=6-2\Rightarrow g(2)=\boxed{4}$

Step 2: Substitute the found value into the composite function.

$\\\implies f[g(2)]= 2(4+1)^2$

$\implies f[g(2)] = 2(5)^2 \Rightarrow 2(25) \Rightarrow \boxed{50}$

Hence, the value of the composite function f[g(2)] is 50.

Learn more about composite functions here:

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brainly.com/question/26215408

Answer 2

Answer:

f(g(2)) = 50

Step-by-step explanation:

evaluate g(2) then substitute the result obtained into f(x)

g(2) = 3(2) - 2 = 6 - 2 = 4 , then

f(4) = 2(4 + 1)² = 2(5)² = 2(25) = 50