Web Analytics
Pageantgirlaliyah
Answered

Instructions: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Consider the functions f(x)=x^2+9x and g(x)=1/x.

f(g(-1)) is

g(f(1/2)) is

Verified Answer :

JohnES

\(f(g(x))=1/x^2+9/x\Rightarrow f(g(-1))=-8\)

\(f(g(x))=1/(x^2+9x) \Rightarrow g(f(1/2))=4/19\)

Answer:

-8

2/19

Step-by-step explanation:

We must substitute x=-1 into g(x) and then the answer of g(x) we must substiute as x into f(x). Similarly we must substitute x=1/2 into f(x) and the answer as x into g(x):

1. x=-1 into g(x)

\(=1/-1=-1\)

substitute x=-1 into f(x)

\(=(-1)^2+9\cdot(-1)=-8\)

2. x=1/2 into f(x)

\(=(1/2)^2+9\cdot(1/2)=19/2\)

substitute x=19/2 into g(x)

\(=1/(11/2)=2/19\)

Related Questions