We are given the functions:
f(x) = 4 x – 5 --->
1
g(x) = 3 x + 7 --->
2
To find for the value of f(x) + g(x), all we have to do is
to add equations 1 and 2:
f(x) + g(x) = 4 x – 5 + 3 x + 7
f(x) + g(x) = 7 x + 2 = y
In this case, for any real number value assign to x, we get
a real number value of y. This is because the function is linear.
Therefore the domain of the function is all real numbers.
Answer:
{2, 4, 6}
Step-by-step explanation:
the domain is the interval or set of valid x (input) values.
the range is the interval or set of valid y (result) values.
all we need to do is use the given x values in the functional definition and collect the result values. that is the range.
x = -1
y = 2×-1 + 4 = 2
x = 0
y = 2×0 + 4 = 4
x = 1
y = 2×1 + 4 = 6
200 because:
250 or higher is 300
249 or lower is 200
I think you meant to say
(as opposed to <em>x</em> approaching 2)
Since both the numerator and denominator are continuous at <em>t</em> = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:
Because these expressions are continuous at <em>t</em> = 2, we can compute the limits by evaluating the limands directly at 2:
