ANSWER
1. k=13
2. x=-10
EXPLANATION
The given function is
To find f(x+5), plug in (x+5) wherever you see x.
This implies that:
Expand:
Simplify to obtain
We now compare with,
This implies that:
To find the smallest zero of f(x+5), we equate the function to zero and solve for x.
The smallest zero is -10.
Answer:
Final graph is attached.
Solution is x=2, y=3
Step-by-step explanation:
As we have to solve by graphing to let's graph y=2x-1 first.
we are free to plug any number for x say x=0 and x=2
when x=0 then y=2x-1 changes to
y=2(0)-1=0-1=-1
Hence point is (0,-1)
Similarly
when x=2 then y=2x-1 changes to
y=2(2)-1=4-1=3
Hence point is (2,3).
Now we graph both points (0,-1) and (2,3) then join them by a straight line.
We repeat exactly same process for other line y=-x+5 and get points (0,5) and (2,3)
Now graph both to see the intersection point of both lines
We see that both lines intersect at point (2,3)
<u>Hence final answer is (2,3) or we can also write x=2, y=3.</u>
