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Llana [10]
2 years ago
9

The graph of f(x) is shown below. Determine what f(-1) is equal to. Determine what f(e) is equal to.

Mathematics
1 answer:
Viefleur [7K]2 years ago
6 0

a) By addition of functions, we find that h(17) = 28.

b) According to the graph, we find that f(- 1) = 1 and f(e) ≈ - 3.8.

<h3>How to analyze functions</h3>

In this question we must analyze functions based on properties for operations between functions and representations on Cartesian plane. a) The <em>first</em> part consists in evaluating each of the two functions and find the result by definition of addition between two functions:

f(17) = √(17 - 1)

f(17) = 4

g(17) = 2 · 17 - 10

g(17) = 24

By addition of functions:

h(x) = (f + g) (x) = f(x) + g(x)

h(17) = (f + g) (17) = f(17) + g(17)

h(17) = 4 + 24

h(17) = 28

By addition of functions, we find that h(17) = 28.

b) The <em>second</em> part consists in finding the values corresponding to two points lying on the curve, domain corresponds to <em>horizontal</em> axis and range corresponds to <em>vertical</em> axis:

f(- 1) = 1, f(e) ≈ - 3.8

According to the graph, we find that f(- 1) = 1 and f(e) ≈ - 3.8.

To learn more on functions: brainly.com/question/12431044

#SPJ1

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