The possible functions for f and g are f(x) =
and g(x) = ![(\frac{1}{3} )^{x}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B3%7D%20%29%5E%7Bx%7D)
<h3>What is an exponential function?</h3>
An exponential function is a mathematical function of the following form: f ( x ) =
where x is a variable, and p is a constant called the base of the function. The most commonly encountered exponential function base is the transcendental number e.
Analysis:
If for every value of x being positive and y is a positive whole number and for every x being negative y is a positive fraction, then that exponential function has a whole number base, Other wise it would have a fractional base. From the above explanation, f has (1,3) (positive x and whole number y) and (-1, 1/3) (negative x and positive fraction y). so therefore f has a whole number base and g has a fraction base.
Therefore f(x) =
and g(x) = ![(\frac{1}{3} )^{x}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B3%7D%20%29%5E%7Bx%7D)
Learn more about exponential functions: brainly.com/question/2436547
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1/2 < 7/15
because
15/ 30 < 14/ 30
(these are equivalent fractions- they have the same denominator so that it is easier to compare)
Hope this helps. Please mark brainliest if it did
Answer: 4536.46
Answer:
y = (√7)/4
Step-by-step explanation:
The equation of the unit circle is ...
x^2 +y^2 = 1
Putting the given value in for x, we can find y to be ...
(-3/4)^2 +y^2 = 1
y^2 = 1 -(-3/4)^2 = 1 -9/16 = 7/16 . . . . . subtract 9/16
y = √(7/16) . . . . . . . . . . . take the square root; y > 0 here
y = (√7)/4
For a polynomial of the form ax^2+bx+c rewrite the middle term as a sum of two terms whose product is a⋅c=5⋅4=20 and whose sum is b=12.
<u>Factor 12 out of 12x.</u>
5x^2+12(x)+4
<u>Rewrite 12 as 2 plus 10</u>
5x^2+(2+10)x+4
Apply the distributive property.
5x^2+2x+10x+4
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
(5x^2+2x)+10x+4
Factor out the greatest common factor (GCF) from each group.
x(5x+2)+2(5x+2)
Factor the polynomial by factoring out the greatest common factor, 5x+25x+2.
(5x+2)(x+2)