What ia the value of f(a) if f(x)=3x-2?

1 Answer
Jun 26, 2018

f(a)=3a-2f(a)=3a2

Explanation:

If f(color(red)x)=3color(red)x-2f(x)=3x2
then
color(white)("XXX")f(color(blue)a)XXXf(a)
is simply f(color(red)x)f(x) with color(red)xx replaced by color(blue)aa

color(white)("XXX")f(cancel(color(red)x)^color(blue)a)=3cancel(color(red)x)^color(blue)a-2
color(white)("XXXXXXX")=3color(blue)a-2

For a more concrete example, you might evaluate f(color(magenta)6) for the same definition of f(color(red)x)
color(white)("XXX")f(cancel(color(red)x)^color(magenta)6)=3 * cancel(color(red)x)^color(magenta)6-2

color(white)("XXX")f(color(magenta)6)=3 * color(magenta)6-2=18-2=16