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kipiarov [429]
4 years ago
8

What is (f⋅g)(x)?

Mathematics
1 answer:
Alik [6]4 years ago
8 0

Answer:

The answer to your question is      f(g(x)) = x⁸ + 8x⁴ + 9

Step-by-step explanation:

Data

f(x) = x² + 2x - 6

g(x) = x⁴ + 3

(fg)(x)

Process

1.- Substitute g(x) in f(x)

    f(g(x)) = (x⁴ + 3)² + 2(x⁴ + 3) - 6

2.- Simplify

    f(g(x)) = x⁸ + 6x⁴ + 9 + 2x⁴ + 6 - 6

3.- Result

    f(g(x)) = x⁸ + 8x⁴ + 9

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Help. What’s the correct answer?
vesna_86 [32]

Answer:

f(g(x)) = -9(sqrt(x + 1) ) + 9

-36

Step-by-step explanation:

This is easier to see if you use the expanded notation.

f(g(x)) = ?

But what that means is that the left most function is f(x) and where every you see an x, you put in a g(x) like so

f(g(x)) = -9(g(x)) + 9    Now substitute the right side of g(x) into the equation for f(x)

f(g(x)) = -9(sqrt(x + 1) ) + 9

Edit to get the numerical answer.

This should be your answer or the expression that will give you the answer.

f(g(24)) = -9(sqrt(24+1) ) + 9

f(g(24)) = -9sqrt(25) +9

f(g(24)) = -  9*5 + 9

f(g(24)) = - 45 + 9

f(g(24)) = - 36

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