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Let f(x)=x−4
and g(x)=−2x+4

Find g(f(2))

0

−12

8

−8

Sagot :

SenorMathWiz

Answer:

8

Step-by-step explanation:

This one is similar to the other one done with graphs , the only difference is we have equations instead of graphs.

Like the other one, we want to find f(2) and whatever that equals we plug into g(x) to find g(f(2))

So first lets find f(2)

f(x) = x - 4

f(2) = 2 - 4

f(2) = -2

g(f(2)) , f(2) = -2 , g(-2)

now lets find g(-2)

g(x) = -2x + 4

g(-2) = -2(-2) + 4

multiply -2 and -2 to get 4

g(-2) = 4 + 4

add 4 and 4 to get 8

g(-2) = 8

We can conclude that g(f(2)) = 8

f(2):-

[tex]\\ \sf\longmapsto f(2)[/tex]

[tex]\\ \sf\longmapsto 2-4[/tex]

[tex]\\ \sf\longmapsto -2[/tex]

Now

[tex]\\ \sf\longmapsto g(f(2))[/tex]

[tex]\\ \sf\longmapsto g(-2)[/tex]

[tex]\\ \sf\longmapsto -2(-2)+4[/tex]

[tex]\\ \sf\longmapsto 4+4[/tex]

[tex]\\ \sf\longmapsto 8[/tex]

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