For what value of x does 4 superscript x baseline = (one-eighth) superscript x 5?
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Answer:
The value of q and p is 4 and -24 respectively.
Step-by-step explanation:
Being , the line x=4 is a vertical asymptote to the graph of f(x). The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.
Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:
x - q= 0
Solving:
x= q
Being the line x=4 the vertical asymptote, then
<u><em>4=q</em></u>
Then the function f (x) is:
The y intercept is (0,4). This is, x= 0 and y=4. Replacing:
Solving:
4*(-4)= p+8
-16= p+8
-16 - 8= p
<u><em>-24= p</em></u>
<u><em>The value of q and p is 4 and -24 respectively.</em></u>