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kow [346]
3 years ago
10

9/115 simplified??????

Mathematics
1 answer:
devlian [24]3 years ago
8 0
9/115 is not able to be simplified.
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If F(x)=4x-1 and g(x)=x^2+7, what is g(f(x))
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Answer

g(f(x)) = = 16 {x}^{2} - 8x + 8

step by step Explanation

The functions given are

f (x)= 4x- 1

g(x)= {x}^{2} + 7

We want to find:

g(f (x))= g( 4x- 1)

This implies that

g(f (x))= ( (4x- 1)^{2} + 7)

Let us now simplify

( {a - b)}^{2} = {a}^{2} -2ab + {b}^{2}

This implies that

( (4x- 1)^{2} + 7) =( {(4x)}^{2} - 2(4x) \times 1 + 1

Combine the terms to get,

= 16 {x}^{2} - 8x + 1 + 7

= 16 {x}^{2} - 8x + 8
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