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4 years ago

Given the functions f(x) = 7x + 13 and g(x) = x^2 + 2, which of the following functions represents f[g(x)] correctly?

Mathematics

1 answer:

Paladinen [302]4 years ago

8 0

Answer:

f(g(x)) = x^2 + 27.

Step-by-step explanation:

To find f(g(x)) we replace the x in f(x) by g(x) and simplify:

f(g(x)) = 7(x^2 + 2) + 13

= 7x^2 + 14 + 13.

= 7x^2 + 27.

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So the first step is to find the height, and to do that you know that the area of a triangle is height * base / 2 = area. Plugging in the numbers you have, you get:

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Now you can use the base and the height to find the hypotenuse using the Pythagorean Theorem: $a^{2} +b^{2} =c^{2}$

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