3 years ago

Write a description of the set. {April,August}

Mathematics

1 answer:

vova2212 [387]3 years ago

8 0

Set of months beginning with the letter A

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G(x) = 15 – 4x<br> h(x) = x +8<br> Write g(h(x)) as an expression in terms of 2.

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For this case we have the following functions:

$g (x) = 15-4x\\h (x) = x + 8$

We must find $g (h (x))$ when $x = 2$ .

So:

$g (h (x)) = 15-4 (x + 8) =$

We apply distributive property to the terms within parentheses taking into account that:

$- * + = -\\15-4x-32 =$

We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:

$-17-4x$

Thus, we have to:

$g (h (x)) = - 17-4x$

Then, with x = 2:

$g (h (2)) = - 17-4 (2) = - 17-8 = -25$

Equal signs are added and the same sign is placed.

Answer:

$g (h (2)) = - 25$

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