Which of the following statements about f(x) is true f(x)= (5/4)^x+1

Mathematics

1 answer:

nadezda [96]4 years ago

5 0

Answer:

See below for possible solutions.

Step-by-step explanation:

The function f(x) = (5/4)^x + 1 is an exponential function since the variable is an exponent. It has a base of 5/4 meaning its outputs change constantly as a multiplicative factor of 5/4. The function's initial value is 1 and it has been shifted up. This means while the initial value is 1, it has been shifted up 1 so the y-intercept is 2 or (0,2). The asymptote of the function has also been shifted from the parent's function location at y = 0 to y = 1. The asymptote is a horizontal line which the function never crosses but only approaches.

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murzikaleks [220]

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andrey2020 [161]

Answer:

$1 + \frac{3}{x}$

Step-by-step explanation:

1) Rewrite x² - 9 in the form a² - b² where, a = x and b = 3.

$\frac{ {x}^{2} - {3}^{2} }{ {x}^{2} - 3x}$

2) use difference of squares: a² - b² = ( a + b ) (a - b).

$\frac{(x + 3)(x - 3)}{ {x}^{2} - 3x}$

3) Factor out the common term x.

$\frac{(x + 3)(x - 3)}{ x(x - 3)}$

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5) Simplify.

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yarga [219]

$\\
\text{Suppose you have a quarter of a pie, so in mathematical notation the part of }\\
\text{pie you have is}=\frac{1}{4}\\
\\
\text{now you cut this piece of quarter pie in half and make two equal part.}\\
\\
\text{so the fraction of the pie, that each slice would represent is:}\\
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