Anna is selling tickets to a carnival. the function f(x) = 0.5x represents the amount of money in dollars anna earns per ticket, where x is the number of tickets she sells. the function g(x) = 6x represents the number of tickets anna sells per hour, where x is the number of hours she works.

find f(g( and explain its meaning.

f(g(x)) = 12x, which represents the money anna made in dollars per hour
f(g(x)) = 12x, which represents the number of tickets anna sold per hour
f(g(x)) = 3x, which represents the money anna made in dollars per hour
f(g(x)) = 3x, which represents the number of tickets anna sold per hour

f[g(x)] = 3x, which represents the money Anna made in dollars per hour.

Step-by-step explanation:

Anna is selling tickets to a carnival. The function f(x) = 0.5x represents the amount of money in dollars Anna earns per ticket, where x is the number of tickets she sells. The function g(x) = 6x represents the number of tickets Anna sells per hour, where x is the number of hours she works.

Hence, f[g(x)] = f(6x) = 0.5(6x) = 3x

Therefore, f[g(x)] = 3x, which represents the money Anna made in dollars per hour. (Answer)

Anna is selling tickets to a carnival. The function f(x) = 0.5x represents the amount of money in dollars Anna earns per ticket, where x is the number of tickets she sells. The function g(x) = 6x represents the number of tickets Anna sells per hour, where x is the number of hours she works.

f[g(x)] = f(6x) = 0.5(6x) = 3x

f[g(x)] = 3x, which represents the money Anna made in dollars per hour.

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

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step-by-step explanation: