Answered

Given the following functions f(x) and g(x), solve f[g(6)] and select the correct answer below:


f(x) = 6x + 12


g(x) = x − 8


−96

0

24

48

Verified Answer :

TSO

f[g(6)] = f[6 - 8] = f[-2] = 6(-2) + 12 = -12 + 12 = 0

f[g(6)] = 0

The answer is B) 0.

Answer:

Option 2nd is correct.

\(f[g(6)]\) =0.

Step-by-step explanation:

Given the function:

\(f(x) = 6x+12\)

\(g(x) = x-8\)

Solve: \(f[g(6)]\)

First calculate:

f[g(x)]

Substitute the function g(x)

\(f[x-8]\)

Replace x with x-8 in the function f(x) we get;

\(f(x-8) = 6(x-8)+12\)

The distributive property says that:

\(a\cdot (b+c) = a\cdot b+ a\cdot c\)

Using distributive property:

\(f(x-8) = 6x-48+12 = 6x-36\)

⇒\(f[g(x)] = 6x-36\)

Put x = 6 we get;

\(f[g(6)] = 6(6)-36 = 36-36 =0\)

Therefore, the value of  \(f[g(6)]\) is 0.


Related Questions