Answer:
To determine which function has an output of 30 when x = 6, we need to substitute the value of x into each function and see which one gives us the desired output.
a) f(x) = 5x + 11
Substituting x = 6:
f(6) = 5(6) + 11
f(6) = 30 + 11
f(6) = 41
b) g(x) = 3x + 12
Substituting x = 6:
g(6) = 3(6) + 12
g(6) = 18 + 12
g(6) = 30
c) h(x) = 5x + 10
Substituting x = 6:
h(6) = 5(6) + 10
h(6) = 30 + 10
h(6) = 40
From the calculations above, we can see that only function g(x) = 3x + 12 gives an output of 30 when x = 6. Therefore, the correct answer is option b) g(x) = 3x + 12.