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Degger [83]
3 years ago
10

For f(x)=4x+1 and g(x)=x^2-5,find(f•g)(4)

Mathematics
2 answers:
RoseWind [281]3 years ago
8 0

Answer:

(f•g)(4) = 45

Step-by-step explanation:

f(x)=4x+1

g(x)=x^2-5

(f•g)(x) = 4(x^2 -5)+1

(f•g)(4) = 4(4^2 -5)+1

(f•g)(4) = 4(16-5)+1

(f•g)(4) = 4(11)+1

(f•g)(4) = 44 + 1

(f•g)(4) = 45

lianna [129]3 years ago
4 0

Answer:

45

Step-by-step explanation:

Assuming f∘g, it is the function composition of two given function. So, f(g(x))=(f∘g)(x).

Function Composition is when we nest two functions creating another one, so if we nest f(x) and g(x) we'll have another one f(g(x)).

If  f(x)=4x+1 and  g(x)=x^2-5, (fg)(x)

If we replace x in the second function, namely, g(x) then we have:

f(g(x))

4(x^2-5)+1=0\\\\4x^2-20+1=0\\\\4x^2-19=0

Now, let's plug it in the value of 4 for x

f(g(4))=4(4)^2-19\\

(f(g(4))=45

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3 years ago
The value of x satisfying both the equations 4x – 5 = y and 2x – y = 3, when y = -1 is
schepotkina [342]

Answer:

x = 1

Step-by-step explanation:

4x-5=y

4x-5= -1

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3 years ago
This composite figure is made up of three simpler shapes. What is the area of the figure? 7 cm 4 cm 5 cm 4 CE 8 cm A. 66 square
kirza4 [7]

The total area of the given figure will be 66 square cm.

<h3>What is an area? </h3>

The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle and a parallelogram.

Total area = Area of triangle + Area of rectangle + Area of parallelogram

Total area = [(1/2) x 4 x7]   +  [4  x  5]  + [ 4   x   8 ]

Total area =  14+20+32

Total area = 66 square cm

Hence the total area of the given figure will be 66 square cm.

To know more about the area follow

brainly.com/question/24375372

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