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2 years ago

Please help me with this #6

Mathematics

1 answer:

kirza4 [7]2 years ago

8 0

$\text{First term,}~ a = 4,\\\\\text{Common difference,}~ d = 9-4 = 5\\\\\text{Nth term} = a + (n-1) d\\\\~~~~~~~~~~~~~=4+(n-1)5\\\\~~~~~~~~~~~~~= 4+5n-5\\\\~~~~~~~~~~~~~= 5n-1\\\\\text{Hence. 80th term}~ = 5(80) -1 = 399$

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<h3>What is composition function?</h3>

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.

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substitute the value of g(x) in the above equation, and we get

= 4(x⁴ - 24x + 9) + 1

simplifying the above equation

= 4x⁴ - 96x + 36 + 1

= 4x⁴ - 96x + 37

(f o g)(x) = 4x⁴ - 96x + 37

b) (g o f)(x) = g[f(x)]

substitute the value of g(x) in the above equation, and we get

g[f(x)] = (4x² + 1)²- 3

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simplifying the above equation

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