Question

Express your answer as a polynomial in standard form.

f
(
x
)
=
f(x)=
 
 
−
x
−
7
−x−7
g
(
x
)
=
g(x)=
 
 
3
x
2
+
2
x
−
4
3x
2
+2x−4
Find:
f
(
g
(
x
)
)
Find: f(g(x))

Answer 1

9514 1404 393

Answer:

f(g(x)) = -3x^2 -2x -3

Explanation:

Given:

f(x) = -x-7

g(x) = 3x^2 +2x -4

Find:

f(g(x))

Solution:

Substitute per the function definitions.

f(g(x)) = f(3x^2 +2x -4) = -(3x^2 +2x -4) -7

f(g(x)) = -3x^2 -2x -3