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vagabundo [1.1K]
2 years ago
14

What is f[g(3)] for the following function? f(x) = 4x2 − 3 g(x) = 5x − 2

Mathematics
2 answers:
lukranit [14]2 years ago
8 0

Answer:

673

Explanation:

  • f(x) = 4(x)² − 3
  • g(x) = 5(x) − 2

solve:

  • f[g(3)]
  • f(5(3) − 2)
  • f(13)
  • 4(13)² − 3
  • 673
Alinara [238K]2 years ago
6 0

Step-by-step explanation:

f[g(3)] = ?

When f(x) = 4x² - 3

g(x) = 5x - 2

f[g(3)] = ?

where g(3) => 5(3) - 2 => 13

f(13) = ?

where f(x) = 4x² - 3

f(13) = 4(13)² - 3

f(13) = 676 - 3 => 673

f[g(3)] = 673

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Step-by-step explanation:

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The first term (a ) = -17

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common difference (d) = ?

number of terms (n ) = 6

We will use the formula for calculating the last term to find the common difference. That  is

L = a + (n - 1 ) d

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Therefore: d = 9.8

We can therefore find the values of p , q , r , and s

p is the second term , that is

p = a + d

p = -17 + 9.8

p = -7.2

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r = a + 3d

r = - 17 + 29.4

r = 12.4

s = a + 4d

s = - 17 + 39.2

s = 22.2

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