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nignag [31]
3 years ago
10

What is g(f(x)) when f(x) = 3x + 1 and g(x) = 4x2 - 4?

Mathematics
1 answer:
Solnce55 [7]3 years ago
5 0

Answer:

C) g(f(x)) = 36x^2 + 24x


Step-by-step explanation:

g(f(x)) when f(x) = 3x + 1 and g(x) = 4x^2 - 4

g(f(x)) = 4(3x + 1)^2 - 4

g(f(x)) = 4(9x^2 +  6x +1) - 4

g(f(x)) = 36x^2 + 24x + 4 - 4

g(f(x)) = 36x^2 + 24x

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<h2><em><u>Answ</u></em><em><u>er</u></em><em><u>:</u></em><em><u>-</u></em></h2>

<h3>1.) 3x + 2 = 15</h3>

➪ 3x = 15 - 2

➪ 3x = 13

★ \large\pink{x = \sf{\dfrac{13}{3}}}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>2.) 5x - 8 = 52</h3>

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★ \large\pink{x = 12}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>3.) 2(x+1) = 14</h3>

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★ \large\pink{x = 6}

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➪ \sf\dfrac{1}{4} \times x = 6

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