Question

a function f(x)has doamin {xeR/x>-4} and range {yeR/y<-1) . Determine the domain and range for each function.

a) y=2f(x) b) y=f(-x) c) y=3f(x+1)+4

d) y=-2f(-x+5)+1

thanks for the help !!!

Answer 1

so, f is defined for x > -4 and y < -1.

2*f(x) has same domain, range is y < -2.
f(-x) has domain (-x) > -4, so x < 4, range y < -1.

3*f(x+1) + 4 has domain (x+1) > -4, so x > -5, range y < 3*R(f)+4 so y < 1.

-2*f(-x+5)+1 has domain (-x+5) > -4, so x < 9. range would be -2*R+1 = y>3

Answer 2

yo what

Answer 3

I'm so confused. can u perhaps explain a bit better since I'm pretty dumb

Answer 4

We all on page 77 question 19 aren't we TT