Question

f(x) = x-6, g(x) = x² find f o g and g o f​

Answer 1

Answer:

fog(x) = x^2 - 6

gof(x) = x^2 - 12x + 36

Step-by-step explanation:

f(x) = x - 6

g(x) = x^2

Therefore,

fog(x) = f{g(x)}

= f(x^2)

$\fbox{fog(x)= x^2 - 6}$

and,

gof(x) = g{f(x)}

= g(x-6)

= (x-6)^2

$\fbox{gof(x)= x^2 -12x + 36}$

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Answer 2

fog(x) = x² - 6 and gof(x) = (x - 6)²

Given :

f(x) = x-6 , g(x) = x²

To find :

fog and gof

Solution :

Step 1 of 2 :

Write down the given functions

Here the given functions are

f(x) = x-6 , g(x) = x²

Step 2 of 2 :

Find fog and gof

fog(x)

= f(g(x))

= f(x²)

= x² - 6

Now

gof(x)

= g(f(x))

= g(x - 6)

= (x - 6)²

Hence fog(x) = x² - 6 and gof(x) = (x - 6)²

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