Question

If `f(x)= sqrt(12x+6)/(8x-5)`, what is `f(1/4)`?

Answer 1

`f(1/4)=color(blue)(-1)`

Explanation:

If `f(color(red)x) =sqrt(12color(red)x+6)/(8color(red)x-5`
then
`color(white)("XXX")f(color(red)(1/4))=sqrt(12 * color(red)(1/4) +6)/(8 * color(red)(1/4)-5)`

`color(white)("XXXXXXX")=sqrt(3+6)/(2-5)`

`color(white)("XXXXXXX")=sqrt(9)/(-3)`

`color(white)("XXXXXXX")=3/(-3)`

`color(white)("XXXXXXX")=-1`