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Tamiku [17]
3 years ago
13

In an exponential function, f(x)=b^x, b is not allowed to be 1 explain why this restriction exists?

Mathematics
1 answer:
suter [353]3 years ago
4 0

That is because b to any power = 1,

1^1 = 1, 1^0 = 1   1^0.25 = 1 etc

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Use cramer's rule to determine if the system is inconsistent system or contains dependent equations. 2x + 7 = 8 6x + 3y = 24 que
Natali [406]
Answer: In the equations that you have given, we have a dependent system.

2x + y = 8 (I assumed that you meant to type y instead of 7)
6x + 3y = 24


To use Cramer's Rule, we have to take the determinant of 3 different matrices written in the problem. Taking the determinant of the coefficient matrix produces a zero.

2  1   This is the coefficient matrix.
6  3

6 - 6 = 0

Since this is 0, the rest of the work will be undefined meaning the systems are dependent (or they are the versions of the same equation).
8 0
3 years ago
Read 2 more answers
What is the x-intercepts of the graph of y = 12x-5x-2
devlian [24]
Hey there!

First, we see that it's already written in slope intercept, y = mx + b where m is the slope and b is the y intercept, we just need to simplify the like terms on the right. We have:

y = 12x-5x-2
y = 7x - 2

Now that we have it in slope intercept form, whenever we have an x intercept, since it is crossing the x axis, there's no y value. We plug in 0 for y:

0 = 7x - 2
2 = 7x
2/7 = x

The x intercept is (2/7, 0)

Hope this helps!
6 0
3 years ago
Rewrite with positive exponents: 7^-3
Advocard [28]

Answer:

1/7^3 (One over seven thirds)

Step-by-step explanation:

3 0
3 years ago
Please help! ! Timed !******
lord [1]

Answer:

(fоg)(x) =  x

Step-by-step explanation:

f(x) = (x-1)/3

g(x)=3x+1

(fоg)(x) = f(g(x)) = ((3x+1)-1) / 3 = 3x / 3 = x

3 0
3 years ago
Given f(x) = 4x + 2, find f-1(3).
Alexxandr [17]

Answer:

  1/4

Step-by-step explanation:

The inverse function tells you the input value that corresponds to the given output value of the function.

<h3>Application</h3>

You want f^-1(3), which is the value of x such that f(x) = 3.

  f(x) = 3 = 4x +2

  1 = 4x . . . . . . subtract 2

  1/4 = x . . . . . divide by 4

The inverse function of 3 is 1/4:

  \boxed{f^{-1}(3)=\dfrac{1}{4}}

4 0
2 years ago
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