The answer to this is 169
Answer: the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.
Step-by-step explanation:
since f(x) = x + 4 and g(x) = x - 1
then f/g = x + 4/x - 1
the denominator of a function cannot be zero since a fraction with a denominator of zero is undefined.
∴ x - 1 ≠ 0
the value of x when g(x) = 0 is
x - 1 = 0
x = 1
∴ x ≠ 1
Therefore the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.
Janina is the tallest, while Isabel is the shortest.
It's a linear function. The graph is a straight line, therefore we need only two points.
Select any value of x and calculate the value of y:
y = -3x + 4
for x = 0 → y = -3(0) + 4 = 4 → (0, 4)
for x = 2 → y = -3(2) + 4 = -2 → (2, -2)