Question

help please
If f(x) = 3x + 1 and g(x) = 2x − 4, find f[g(2)].

Answer 1

It's like substituting the function g(x) into the function f(x)
\[f(x) = 3(2x-4) + 1\]
\[f(x) = 6x-12 + 1\]
\[f(x) = 6x - 11\]

Answer 2

Substitute value of x=2
\[f(x) = 6(2) - 11\]
\[f(x) = 12 - 11\]
\[f(x) = 1\]

Answer 3

thanks how about this one.
If f(x) = −x − 1 and g(x) = 4x − 1, find f[g(−2)]

Answer 4

\[f(x) = -x - 1\]
\[f(x) = -(4x - 1) - 1\]
\[f(x) = -4x + 1 - 1\]
\[f(x) = -4x\]

Substitute x=-2
\[f(x) = -4(-2)\]
\[f(x) = 8\]