Suppose the rule of the function f is "add one" and the rule of the...

hadejada7x

hadejada7x

Answered

2021-12-28

Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 4."
How can we express these functions algebraically?
f(x)=
g(x)=
(fg)(x)=
(fg)(x)=

Answer & Explanation

Ella Williams

Ella Williams

Expert

2021-12-29Added 28 answers

Given:
Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 4".
Calculation:
To express the function algebraically:
Here, f and g are function of x.
From the given information,
f(x)=x+1
g(x)=4x
(fg)(x)=f(g(x))
=f(4x)
(fg)(x)=4x+1, (using f(x)=x+1)
(gf)(x)=g(f(x))
=g(x+1)
=4(x+1), (using g(x)=4x)
(gf)(x)=4x+4
Cassandra Ramirez

Cassandra Ramirez

Expert

2021-12-30Added 30 answers

We have to find the algebraically function f and g where f is "add one" and g is "multiply by 4"
Solution: f(put)=∈put+1
f(x)=x+1
and g(x)=4x
(fg)(x)=f(g(x))=f(4x)=4x+1
(fg)(x)=g(f(x))=g(x+1)=4(x+1)
(fg)(x)=4x+4

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