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stira [4]
3 years ago
15

If f(x)=x^4+6, g(x)=x-2 and h(x)= sqrt (x), then f(g(h(x)))=

Mathematics
1 answer:
patriot [66]3 years ago
3 0

Answer:

x^2 + 4x * (3 - sqrt(x)) - 2(5 + sqrt(x))

Step-by-step explanation:

Firstly let us split this up, we need to first work out what g(h(x)) is:

h(x) = Sqrt(x) so g(h(x)) = g(sqrt(x)) = sqrt(x) - 2

Now to work out f(g(h(x))) = f(sqrt(x) - 2) = (sqrt(x) - 2)^4 + 6

= (sqrt(x) - 2) * (sqrt(x) - 2) * (sqrt(x) - 2) * (sqrt(x) - 2) - 6

= (x - 2 * sqrt(x) + 4) * (x - 2 * sqrt(x) + 4) - 6

= x^2 - 2x * sqrt(x) + 4x - 2x * sqrt(x) + 4x - 8 * sqrt(x) + 4x - 8 * sqrt(x) + 16 - 6

= x^2 - 4x * sqrt(x)  + 12x - 16 * sqrt(x) + 10

= x^2 + 4x * (3 - sqrt(x)) - 2(5 + sqrt(x))

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stiv31 [10]

Answer: hot dog = $1.75

<u>Step-by-step explanation:</u>

Let h represent hot dogs and c represent bags of chips.

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Customer 2: 5h + 3c = 11.75 → -2(5h + 3c = 11.75)  → <u>-10h - 6c </u>= <u>-23.50</u>

                                                                                       2h        =    3.50

                                                                                   <u>   ÷2        </u>    <u>   ÷2    </u>

                                                                                        h        =    1.75


7 0
3 years ago
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