Question

can someone show me how to find the domain and range of these two equations please
1) f(x)= sqrtx^2-5x+6
2) f(x)= |2x+1|-3

Answer 1

Domain: The set of x-s where the computation is ALLOWED, recall now that Square root is only allowed where the expression inside it is NON-negative

Answer 2

What is the expression inside root in THIS case ?

Answer 3

x must be a negative number

Answer 4

Range: the set of y-s you "hit" by computing the function on ALL possibly allowed x-s (on the domain that is)

Answer 5

Isn't it \[\sqrt{x^2 -5x +6}\]

Answer 6

yes

Answer 7

Sooo you have instead to solve\[x^2-5x +6 \ge 0\]

Answer 8

Faaaind the roots, graph the parabola - start solving the inequality

Answer 9

if i knew hoe to do that i wouldn't have asked the question

Answer 10

oops i mean how to do that

Answer 11

Look up : SOlving quadratic Equations.
then Look up: quadratic inequalities
Believe me its better to start catching up NOW instead of plastering-over until later

Answer 12

May be drawing the graph and finding the domain and range would be easier.

Answer 13

no solving algabraiclly would be more easier

Answer 14

Drawing the graph of\[y= \sqrt{x^2 -5x +6}\] WITHOUT solving for roots ? Hmmm doubtful to say the least....

Answer 15

|2x+1|-3

Answer 16

domain and range for that = -3.infinity

Answer 17

now for the other one

Answer 18

israel you want to have a go at it

Answer 19

for the graph I drew above
the domain is R
range is -3 to infinity

Answer 20

now for the other one....