Question

for the function f(x) = sqrt(8x + 10) find the inverse function

Answer 1

I think its (x^2-10)/8, x is less than or equal to 0

Answer 2

(x^2-10)/8 is absolutely correct!
how did u come up with x is less than or equal to 0 ?

Answer 3

I wasnt sure of that part

Answer 4

ok, can you find the domain of the function ?

Answer 5

and range of a function ?

Answer 6

range of f(x) is f(x)>= 0 , right ??
because sqrt alwys gives non-negative answer.
got this ?

Answer 7

Domain is x is greater than or equal to -(5/4)?

Answer 8

yup

Answer 9

but the range is of significance in this question, because
'Domain of INVERSE function = Range of original function'
and vice versa
remember this

Answer 10

so u got how range of f(x) is f(x) > = 0 ?

Answer 11

yeah

Answer 12

that means domain of inverse function will be x>= 0
so,
its (x^2-10)/8, x is greater than or equal to 0
:)

Answer 13

ok that makes sense. so for f(x) = -5sqrt(x) - 3. It would be (x+3)^2/25, x is less than or equal to -3, because the domain of f is x is less than or equal to 3. right?

Answer 14

i meant the range of f is x is less than or equal to 3

Answer 15

correct!

Answer 16

Thank you!

Answer 17

welcome ^_^