Exponential functions are related to logarithmic functions in that they are inverse functions. Exponential functions move quickly up towards a [y] infinity, bounded by a vertical asymptote (aka limit), whereas logarithmic functions start quick but then taper out towards an [x] infinity, bounded by a horizontal asymptote (aka limit).
If we use the natural logarithm (ln) as an example, the constant "e" is the base of ln, such that:
ln(x) = y, which is really stating that the base (assumed "e" even though not shown), that:

if we try to solve for y in this form it's nearly impossible, that's why we stick with ln(x) = y
but to find the inverse of the form:

switch the x and y, then solve for y:

So the exponential function is the inverse of the logarithmic one, f(x) = ln x
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Let t as y² + 5y .

Rewrite the equation :

Multiply sides by t


Add sides 36



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So :

Subtract sides 6




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Thus (( y = 1 )) and (( y = - 6 )) are the roots of the equation .
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Answer:
C.(-3, -3) and (-3,3)
Step-by-step explanation:
When we have a vertical line the slope is undefined.
That means the x values stay the same
C.(-3, -3) and (-3,3)
This has the same x values
m = (y2-y1)/(x2-x1)
=( 3- -3)/(-3 - -3)
(3+3)/(-3+3)
6/0
undefined
Answer:
It's A.
Step-by-step explanation:
For every value of x there is one value of y - we can draw a vertical line through any value of x and it will pass through only one value of y.
Therefore it is a one-to-one function.