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Helen [10]
2 years ago
7

Does anyone know how to do these maths question???

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
3 0

Answer:

Part 1) f(g(x))=3(x^2)+2

Part 2) g(f(5))=289

Step-by-step explanation:

we know that

A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function

we have

f(x)=3x+2

g(x)=x^{2}

Part 1) Determine f(g(x))

To find f(g(x)) substitute the function g(x) as the variable in function f(x)

so

f(g(x))=3(x^2)+2

Part 2) Determine g(f(x))

To find g(f(x)) substitute the function f(x) as the variable in function g(x)

so

g(f(x))=(3x+2)^2

For x=5

g(f(5))=(3(5)+2)^2

g(f(5))=289

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PLEASE CHECK MY ANSWERS (PART 2)
Anna007 [38]
3 is incorrect, should be 28.9

16^2 + 18^2 = EG^2
256 + 324
580 = EG^2
EG ≈ 24.08

16^2 + 24.08^2 = AG^2
256 + 580 = AG^2
836 = AG^2
AG ≈ 28.9

5 is incorrect:

The base is 8.
Draw an altitude the base.
Since the triangle is isoceles, it divides the base in half.
Half of that base is 4.
Two right triangles have been formed with one leg 4 and hypotenuse 8.
4^2 + b^2 = 8^2
16 + b^2 = 64
b^2 = 48
b ≈ 6.93

The height of the triangle is 6.93, the base is 8.
A = bh/2 = 8*6.93/2 ≈ 27.7 ≈ 28



3 0
3 years ago
The function p(t) represents the value of a new car t years after it was manufactured.
Yakvenalex [24]

Answer:


The value of the car is 0.94 times the value of the car the previous year.



5 0
3 years ago
Read 2 more answers
"If 5 is decreased from double Joe's weight, the result is 230. What is Joe's weight?"<br> 30
Gala2k [10]

Answer:

117.5 or 235/2

Step-by-step explanation:

We can set up an equation for this problem:

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therefore:

2x = 235

x = 117.5 or 235/2

3 0
3 years ago
A square with one side length represented by an expression is shown below
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S1=6(3X+8)+32+12X
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shusha [124]
The answer is 80 hope this helps :)

7 0
3 years ago
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