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pogonyaev
1 year ago
6

Math help please Let f(x)=x2+5 and g (x)=3x+4; find (g o f)(7); (g o f)(7)=; help me solve!! Please!

Mathematics
1 answer:
lorasvet [3.4K]1 year ago
5 0

f(x) = 2x

g(x) = x + 3

First let us find (fog)(x)

<span />

(fog)(x) = f(g(x)

             = f(x+3)

               = 2(x+3)

               = 2x + 6

==> (fog)(x) = 2x + 6

Now let us find (gof)(x):

(gof)(x) = g(f(x)

            = g(2x)

           = 2x + 3

==> <span>(gof)(x) = 2x + 3</span>

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For f (x) = x ^ 2 - 5:

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Answer:

from the greatest to the least value based on the average rate of change in the specified interval:


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f(x) = 3x - 8 interval: [4, 5]

f(x) = x^2 - 5 interval: [-1, 1]

f(x) = x^2 - 2x interval: [-3, 4]


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