Given the following functions f(x) and g(x), solve f[g(10)]. F(x) = 10x 8 g(x) = x 9 2,052 98 190 198.

Mathematics

1 answer:

gladu [14]2 years ago

6 0

For the value of x = 10, then the value of function f [g(10)] is 198. Then the correct option is D.

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

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The following functions f(x) and g(x), solve f [g(10)]. f(x) = 10x + 8 g(x) = x + 9.

put g(x) in place of x in the function f(x). Then we have

f [g(x)] = 10(x + 9) + 8

f [g(x)] = 10x + 90 + 8

f [g(x)] = 10x + 98

Put x = 10, then we have

f [g(10)] = 10(10) + 98

f [g(10)] = 100 + 98

f [g(10)] = 198

Thus, for the value of x = 10, then the value of function f [g(10)] is 198. Then the correct option is D.

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Recycled CDs, Incorporated, offers a choice of 5 used CDs for $27, with each additional CD costing $5. Write a cost function

notka56 [123]

A function assigns the values. The cost of 6 CDs will be $32.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given that the Recycled CDs. Incorporated, offers a choice of 5 used CDs for $27, with each additional CD costing $5. Therefore, a cost function for purchasing 5 or more CDs, where x represents the number of CDs over 5 can be written as,

C(x) = $27 + $5(x)

Now, if 6 CDs are purchased then the number of CDs that are more than 5 is 1. therefore, the cost of 6 CDs will be,

C(1) = $27 + $5(1)

= $27 + $5

= $32

Hence, the cost of 6 CDs will be $32.

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8 0

2 years ago

How many, whole numben are there between<br>32 and 53 ?