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2 years ago

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 first 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 second part consists in finding the values corresponding to two points lying on the curve, domain corresponds to horizontal axis and range corresponds to vertical 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

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Step-by-step explanation:

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The answer for x will be:

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Enter the domain and range of the function g(x) = 9x2 − 5 as an inequality, using set notation and using interval notation. Comp

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The domain and the range of a function are the set of input and output values, the function can take.

The domain and the range of $g(x) = 9x^2 - 2$ is $(-\infty, \infty)$ .
The parent function $f(x) =x^2$ is vertically compressed by 9, then shifted down by 5 units to get $g(x) = 9x^2 - 2$

Given

$g(x) = 9x^2 - 2$

Domain and range

There is no restriction as to the input and the output of function g(x).

This means that the domain and the range are $(-\infty, \infty)$

$(-\infty, \infty)$ is in interval notation

The corresponding set notation is: $- \infty < x < \infty$

The parent function

We have:

$f(x) = x^2$

First, the parent function is vertically compressed by a factor of 9.

The rule of this transformation is:

$(x,y) \to (x,9y)$

So, we have:

$f'(x) = 9x^2$

Next, the function is shifted down by 5 units.

So, we have:

$g(x) = f'(x) - 5$

$g(x) = 9x^2 - 5$

Read more about functions at:

brainly.com/question/21027387

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2 years ago

The volume of a cylinder can is 1.54 litre and area of base is 77cm^2 Find its height

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Answer:

The height is 20 cm.

Step-by-step explanation:

First, we have to know that the volume formula is V = πr²h and the base area of cylinder is a circle. So we can let πr² be 77 cm² . Then we have to substitute the following values into the formula :