f(x) = x-6, g(x) = x² find f o g and g o f
Answers
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)
and,
gof(x) = g{f(x)}
= g(x-6)
= (x-6)^2
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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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