Evaluate function expressions
2 answers:
Answer: -24
Step-by-step explanation:
We should first find the outputs to the functions f and g with inputs 3 and -1 respectively. We can do this by looking at the graph and finding the y value for each desired x value.
Thus, we can see that f(3) = -2 and g(-1) is 6.
We can replace these into the expression to get
We should first multiply, so we get
Hence, the answer is -24.
You might be interested in
Considering the directrix and vertex given in the graph, the equation of the parabola is:
B.
The equation of a quadratic function, of vertex (h,k), is given by:
(y - k)² = 4p(x - h).
In which the directrix is the line x = h - p.
Looking at the graph, we have that:
- The vertex is (-2,-2), hence h = k = -2.
- The directrix is x = -1, hence -1 = -2 - p -> p = -1.
Thus the equation is:
(y + 2)² = -4(x + 2).
Writing x as a function of y:
B.
More can be learned about the equation of a parabola at brainly.com/question/17987697
#SPJ1