Question

Find (f o g)(x) and (g o f)(x). g(x) = x + 5 ; f(x) = 2x.

Answer 1

Answer:

The answers are

f

∘

g

(

x

)

=

2

x

2

−

4

x

−

3

And

g

∘

f

(

x

)

=

(

2

x

−

3

)

(

2

x

−

5

)

Explanation:

f

(

x

)

=

2

x

−

3

g

(

x

)

=

x

2

−

2

x

=

f

(

g

(

x

)

)

=

f

(

x

2

−

2

x

)

=

2

(

x

2

−

2

x

)

−

3

=

2

x

2

−

4

x

−

3

g

∘

f

(

x

)

=

g

(

f

(

x

)

)

=

g

(

2

x

−

3

)

=

(

2

x

−

3

)

2

−

2

(

2

x

−

3

)

=

(

2

x

−

3

)

(

2

x

−

3

−

2

)

=

(

2

x

−

3

)

(

2

x

−

5

)

f

∘

g

(

x

)

≠

g

∘

f

(

x

)

Step-by-step explanation:

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