If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g –

Mathematics

2 answers:

Sveta_85 [38]3 years ago

7 0

F(x) = 4 - x^2
g(x) = 6x
(g - f)(x) = g(x) - f(x) = 6x - (4 - x^2) = 6x - 4 + x^2
(g - f)(3) = 6(3) - 4 + 3^2

Artist 52 [7]3 years ago

4 0

Answer:

Option (c) is correct.

$(g-f)(3)=6(3)-4+(3)^2$

Step-by-step explanation:

Given : $f(x)=4-x^2\\\\ g(x)=6x$

We have to find the expression is equivalent to (g –f)(3)

That is g(3) - f(3)

First find g(x) - f(x)

We have,

$g(x)-f(x)=6x-(4-x^2)\\\\ g(x)-f(x)=6x-4+x^2$

Now, put x = 3

We have,

$g(3)-f(3)=6(3)-4+(3)^2$

Thus, $(g-f)(3)=6(3)-4+(3)^2$

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To find the how many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive we have to apply exponent operation.

The storage capacity of a 1-gigabyte is 1000 greater than 1-megabyte flash drive.

Given:

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The given exponent of megabyte is,

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The power rule of exponent rule is defined as if raise the a number with exponent to power then we will mulitply exponent to the power times.
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Calculate the storage capacity.

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