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3 years ago

If f(x) = 3x - 9 and g(x) = x², what is (gºf)(5)?

Mathematics

1 answer:

Xelga [282]3 years ago

3 0

Answer:

Step-by-step explanation:

Here, f(x) is the input to g(x), forming a composite function.

To evaluate (gºf)(5),

1) find the value of f(5). It is f(5) = 6.

2) Use this result as the input to g(x): g(6) = (6)^2 = 36

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2 years ago

Is 3 divisble by 48.532

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2 years ago

an architect wants to build three similar triangles such that the ratio of the middle triangle. The smallest one has side length

vampirchik [111]

Answer: 15

<u>Step-by-step explanation:</u>

small: 5 12 13

middle: __ 36 39

large: 45 108 117

Notice that to get from the small to the large, multiplied by 9

5(9) = 45 12(9) = 108 13(9) = 117

That is because the sides are proportional $\dfrac{5}{45}=\dfrac{12}{108}=\dfrac{13}{117}\rightarrow\dfrac{1}{9}$

To get from small to middle, multiply by 3

5(3) = 15 12(3) = 36 13(3) = 39

To solve it using proportions:

$\dfrac{5}{x}=\dfrac{12}{36}\\\\\\\text{Cross Multiply and solve for x:}\\5(36)=12x\\\\\dfrac{5(36)}{12}=x\\\\5(3)=x\\\\\large\boxed{15}=x$

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3 years ago

What is the difference between 85.23 and 2.675

Vinil7 [7]

Answer:

82.555

Step-by-step explanation:

Based on the given conditions, formulate:

85.23 - 2.675

Calculate the sum or difference: 82.555

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2 years ago

For which values of P and Q does the following equation have infinitely many solutions ?

solmaris [256]

Answer:

(P, Q) = (-75, 57)

Step-by-step explanation:

The equation will have infinitely many solutions when it is a tautology.

Subtract the right side from the equation:

Px +57 -(-75x +Q) = 0

x(P+75) +(57 -Q) = 0

This will be a tautology (0=0) when ...

P+75 = 0

P = -75

and

57-Q = 0

57 = Q

_____

These values in the original equation make it ...

-75x +57 = -75x +57 . . . . . a tautology, always true

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3 years ago

If f(x) = 3x - 9 and g(x) = x², what is (gºf)(5)?​

If f(x) = 3x - 9 and g(x) = x², what is (gºf)(5)?