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Cerrena [4.2K]
2 years ago
14

Please help ! Algebra

Mathematics
2 answers:
Sladkaya [172]2 years ago
6 0

Answer:

f^-1(3) =7

Step-by-step explanation:

no calculate  f^-1 :

let : f^-1(3) =a   so : f(a) = 3

(2a-2)/4 = 3

2a-2 = 12

2a=14

a = 7

f^-1(3) =7

Simora [160]2 years ago
5 0

Answer:

C

Step-by-step explanation:

y = (2x - 2) / 4 Interchange x and y

x = (2y - 2) / 4  Multiply both sides by 4

4x = 2y - 2       Add 2 to both sides.

4x + 2 = 2y       Divide both sides by 2

4x/2 + 2/2 = 2y / 2

2x + 1 = y

Now put 3 in wherever you see an x

2*3 + 1 = y

6 + 1 = y

7 = y

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Step-by-step explanation:

1780/1000 = 178/100

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2 years ago
A system of equations is given below. For what value(s) of x is f(x)=g(x) ?
NARA [144]

\large{f(x) = g(x)}   \\  \large{ {x}^{2}  + 3x = x + 3}

Since we are solving the quadratic equation because the highest degree in the equation is second. We arrange in the form of ax²+bx+c = 0.

\large{  {x}^{2}  + 3x - x - 3 = 0}

Combine like terms.

\large{ {x}^{2}  + 2x - 3 = 0}

Solve the equation by factoring.

\large{(x  + 3)(x - 1) = 0} \\  \large{x =  - 3,1}

Hence the values of x that make f(x) = g(x) are -3 and 1.

Answer

  • x = -3,1

Let me know if you have any doubts!

3 0
3 years ago
The table below shows selected points from a function.
FrozenT [24]

Answer:

<em>True </em>

Step-by-step explanation:

<em>Rate Of Change Of Functions </em>

Given a function y=f(x), the rate of change of f can be computed as the slope of the tangent line in a specific point (by using derivatives), or an approximation by computing the slope of a secant line between two points (a,b) (c,d) that belong to the function. The slope can be calculated with the formula

\displaystyle m=\frac{d-b}{c-a}

If this value is calculated with any pair of points and it always results in the same, then the function is linear. If they are different, the function is non-linear.

Let's take the first two points from the table (1,1)(2,4)

\displaystyle m=\frac{4-1}{2-1}=3

Now, we use the second and the third point (2,4) (3,9)

\displaystyle m=\frac{9-4}{3-2}=5

This difference in values of the slope is enough to state the function is non-linear

Answer: True

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3 years ago
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Scilla [17]
To be the best you can be at whatever you're practicing. Just because you can't be perfect doesn't mean you can't be very good at it.
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3 years ago
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