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Sladkaya [172]
3 years ago
5

At a restaurant, diners earn 1 point for every $2 they spend, plus 25 bonus points on their first meal. Function f represents th

e number of points earned as a function of the total amount spent x. Which function represents the total amount spent as a function of the number of points earned?
A. f^−1(x) = 2x − 50
B. f^−1(x) = 2x + 50
C. f^−1(x) = 0.5x − 50
D. f^−1(x) = 0.5x + 50
Mathematics
1 answer:
Dmitry [639]3 years ago
5 0

Answer:

Step-by-step explanation:

It’s not c

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In which pair do both decimals represent rational numbers?
aleksandr82 [10.1K]

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step by step explanation:

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The formula for the circumference of circle is,

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Please can any one please help me with both of these
alexandr402 [8]

Answer:

Question 3:  4x^3+x^2-12x-3

Question 4:  \frac{1}{2x}, x\neq 0

Step-by-step explanation:

<u>Question 3</u>

g(x) * h(x) means to multiply both the functions given.

Also note the distributive property:

(a+b)(n+p)=an+ap+bn+bp

Now, lets multiply:

g(x)*h(x)=(4x+1)(x^2-3)\\=(4x)(x^2)-3(4x)+1(x^2)-1(3)\\=4x^3-12x+x^2-3\\=4x^3+x^2-12x-3

The 2nd answer choice is right

<u>Question 4</u>

(\frac{f}{g})(x)  means to divide both the functions and simplify, if possible. Lets do this:

(\frac{f}{g})(x)=\frac{6x-3}{12x^2-6x}=\frac{3(2x-1)}{6x(2x-1)}=\frac{3}{6x}=\frac{1}{2x}

This is the correct answer.

The restriction on the domain is any x value that we CANNOT PUT IN THE FUNCTION.

We know we cannot divide by 0, so what makes this fraction division by 0??

If we put x = 0, the function is undefined. So x CANNOT be 0.

Third answer choice is right.

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kupik [55]

Answer:

1 is the constant

Step-by-step explanation:

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