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xenn [34]
3 years ago
9

If f(x)=x^2-5x and g(x)=8-x^3, evaluate the following:

Mathematics
1 answer:
MAXImum [283]3 years ago
4 0

Answer:

  a.  -25

  b.  -52

  c.  54

  d.  8/7 = 1 1/7

Step-by-step explanation:

Evaluate each of the functions for each of the variable values and compute the composite as defined.

a. (f+g)(3) = f(3) + g(3) = 3^2 -5·3 + 8 -3^3 = -25

___

b. (g -f)(4) = g(4) -f(4) = 8 -4^3 -(4^2 -5·4) = 8 -64 -16 +20 = -52

___

c. (f*g)(-1) = f(-1) · g(-1) = ((-1)^2 -5(-1)) · (8 -(-1)^3) = 6·9 = 54

___

d. (g/f)(-2) = (8 -(-2)^3)/((-2)^2 -5(-2)) = (8+8)/(4+10) = 16/14 = 8/7

<em>_____</em>

<em>Comment on approach to the problem</em>

When there are a number of evaluations of the same function with different values of the variable, it can be convenient to let a calculator or spreadsheet do those for you.

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The functions f(x), g(x) and h(x) are all linear functions

  • The function value that is largest is h(-100)
  • The function value that is largest is h(-100)
  • The function value that is largest is f(1/100)

<h3>How to determine the function with the largest values</h3>

The functions are given as:

f(x) = 4x - 5

g(x) = 4(x - 5)

h(x) = x/4 -5

At x = 100, we have:

f(100) = 4 * 100 - 5 = 395

g(100) = 4 * (100 - 5) = 380

h(100) = 100/4 - 5 = 20

Hence, the function value that is largest is f(100)

At x = -100, we have:

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Hence, the function value that is largest is h(-100)

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Hence, the function value that is largest is f(1/100)

Read more about linear functions at:

brainly.com/question/15602982

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