Answer:
Both f(x) and g(x) have the same output value at x = 5
Step-by-step explanation:
When we are writing a function, while x gives the input value, writings like f(x), g(x) or h(x) will represent the output values of the input value of x
Now, looking at the relation, we are told that the value of f(x) = g(x) at x = 5
What this mean is that at x = 5; the output value of g(x) is the same as the output value of f(x)
Hence, we can conclude that both functions have the same output value at the given input value of x = 5
Answer:
375 miles
Step-by-step explanation:
Create a proportion where x is the number of miles she can drive on 12.5 gallons of gas:
= 
Cross multiply and solve for x:
3.2x = 1200
x = 375
So, with 12.5 gallons of gas, Sara can drive 375 miles
Answer: =(x - 1) x (x^2 + x + 1)
Answer:
domain: {x | x is a real number}
range: {y l y> -8}
Step-by-step explanation:
f(x) = 4x² – 8 is a parabola, a U shape.
Since the stretch factor, 4, is positive, it opens up, there it will have a minimum value, the lowest point in the parabola.
y > -8 because the minimum is -8.
Parabolas do not have restricted "x" values. "4" does not restrict x because it is the stretch factor, which determines how wide the parabola is.
Quadratic standard form:
f(x) = ax² + bx + c
"a" represents how wide the graph is. If it's negative it opens down, if it's positive it opens up.
"b", if written, tells you it is not centred on the y-axis. It is not written, so the vertex is on the y-axis.
"c" is the y-intercept. In this case, since b = 0, it is also the minimum value.
