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boyakko [2]
3 years ago
9

What is the inverse of g? g(x) = 4 - x A) g -1 (x) = 4x B) g -1 (x) = 4 + x C) g -1 (x) = 4 - x D) g -1 (x) = 4 x

Mathematics
1 answer:
alexgriva [62]3 years ago
8 0

Answer:

B) g^ -1 (x) = 4 + x

Step-by-step explanation:

g(x) = 4 - x

Let g(x) =y

y = 4-x

To find the inverse, exchange x and y

x = y-4

Solve for y

Add 4 to each side

x+4 = y-4+4

x+4 =y

This is the inverse function

g^-1 (x) = x+4

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Answer:6

Step-by-step explanation:

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3 years ago
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Please help need how to explain this theory. Thanks
frozen [14]
Hi there!

A recipe for cake needs 3/4 of a cup of milk.
We are making 1/2 of the recipe, which means we also need half of the milk needed for the total recipe. Therefore, we can multiply 1/2 (half of the recipe) by 3/4 (the total amount of cups of milk needed for the total recipe).

\frac{1}{2} \times  \frac{3}{4} =  \frac{3  \times 1 }{2 \times 4} =  \frac{3}{8}
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4 0
2 years ago
How do you illustrate<br>quadratic equation<br>in one variable?​
soldi70 [24.7K]

Step-by-step explanation:

Quadratic Equation

Quadratic equation is in the form

ax2+bx+c=0

Where

a, b, & c = real-number constants

a & b = numerical coefficient or simply coefficients

a = coefficient of x2

b = coefficient of x

c = constant term or simply constant

a cannot be equal to zero while either b or c can be zero

Examples of Quadratic Equation

Some quadratic equation may not look like the one above. The general appearance of quadratic equation is a second degree curve so that the degree power of one variable is twice of another variable. Below are examples of equations that can be considered as quadratic.

1. 3x2+2x−8=0

2. x2−9=0

3. 2x2+5x=0

4. sin2θ−2sinθ−1=0

5. x−5x−−√+6=0

6. 10x1/3+x1/6−2=0

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For us to see that the above examples can be treated as quadratic equation, we take example no. 6 above, 10x1/3 + x1/6 - 2 = 0. Let x1/6 = z, thus, x1/3 = z2. The equation can now be written in the form 10z2 + z - 2 = 0, which shows clearly to be quadratic equation.

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The equation ax2 + bx + c = 0 can be factored into the form

(x−x1)(x−x2)=0

Where x1 and x2 are the roots of ax2 + bx + c = 0.

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For the quadratic equation ax2 + bx + c = 0,

x=−b±b2−4ac−−−−−−−√2a

See the derivation of quadratic formula here.

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• If b2 - 4ac > 0, the roots are real and unequal.

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If the roots of the quadratic equation ax2 + bx + c

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4 0
3 years ago
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Ulleksa [173]

Answer:

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4 0
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