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Tems11 [23]
1 year ago
15

If f(x) = 5x 6 and g(x) = x2 - 4x-8, find (f+ g)(x).

Mathematics
1 answer:
vredina [299]1 year ago
7 0

The value of (f + g)(x) is x² + x - 14

Given: f(x) = 5x - 6

g(x) = x² - 4x - 8.

To find the value of (f + g)(x)

What are functions?

Functions are expressions or a rule that defines the relation between different variables which are described for a given problem.

Let's solve the question:

f(x) = 5x - 6

g(x) = x² - 4x - 8

We know from the algebra of functions that:

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

f(x) + g(x) = (5x - 6) + (x² - 4x - 8)

Now grouping like terms:

= x² + (5x - 4x) + (-6 - 8)

= x² + x - 14

Therefore, (f + g)(x) is x² + x - 14

Hence the value of (f + g)(x) is x² + x - 14

Know more about "functions" here: brainly.com/question/12431044

#SPJ9    

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Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 9 sin(xy), (0, 8)
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Step-by-step explanation:

From the question we are told that

   The function is  f(x, y) =  9sin(xy) \ \ \

    The point considered is  (0,8 )

Generally the maximum rate of change of f at the given point and the direction is mathematically represented as

            \Delta f(x,y) =  [\frac{\delta  f(x,y)}{\delta x } i + \frac{\delta  f(x,y)}{\delta y } j  ]

             \Delta f(x,y) =  [\frac{\delta  (9sin(xy))}{\delta x} i  + \frac{\delta  (9sin(xy))}{\delta y} i   ]

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At  (0,8 )

            \Delta  f (0,8) =  [9(8) cos(0* 8)i  + 9(8) sin(0* 8)j  ]

            \Delta  f (0,8) = 72 i

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