<span><u><em>The correct answer is: </em></u>
y=x.
<u><em>Explanation: </em></u>
<span>In order to find the inverse of a function, we first <u>switch x and y</u>; then we isolate y. When we do this, we are saying that x and y equal the same thing, or y=x. </span></span>
Answer:
B) The maximum y-value of f(x) approaches 2
C) g(x) has the largest possible y-value
Step-by-step explanation:
f(x)=-5^x+2
f(x) is an exponential function.
Lim x→∞ f(x) = Lim x→∞ (-5^x+2) = -5^(∞)+2 = -∞+2→ Lim x→∞ f(x) = -∞
Lim x→ -∞ f(x) = Lim x→ -∞ (-5^x+2) = -5^(-∞)+2 = -1/5^∞+2 = -1/∞+2 = 0+2→
Lim x→ -∞ f(x) = 2
Then the maximun y-value of f(x) approaches 2
g(x)=-5x^2+2
g(x) is a quadratic function. The graph is a parabola
g(x)=ax^2+bx+c
a=-5<0, the parabola opens downward and has a maximum value at
x=-b/(2a)
b=0
c=2
x=-0/2(-5)
x=0/10
x=0
The maximum value is at x=0:
g(0)=-5(0)^2+2=-5(0)+2=0+2→g(0)=2
The maximum value of g(x) is 2
Answer:
Step-by-step explanation:
Put the values:
While subtracting , sign of each term of the second expression changes.
Add the numbers : 9 and 9
Hope I helped!
Best regards! :D
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Answer:
C.
Step-by-step explanation:
If f(c)=0 then (c,0) is on the graph.
In general, if f(a)=b then (a,b) is on the graph.
By factor theorem if f(c)=0 then x-c is a factor.
If x-c is a factor then x-c will divide f(x) evenly. We know this because the remainder will be 0 because we know x-c is a factor of f.
The only choice that I have said in this whole thing that is true is C.
See the attached picture for the solution:
