Can someone please help?

Question

Can someone please help?

Find f ○ g if g(x) = x + 1 and f(x) = 2x2 - 5x + 8

1 Answer

Impact of this question

968 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-03T00:48:41

$f (g (x)) = 2 x^{2} - 5 x + 5$ $f(g(x)) = 2x^2 - 5x + 5$ OR $f (g (x)) = f (x) - 3$ $f(g(x)) = f(x) - 3$

Explanation:

$(f \circ g) (x) = f (g (x)) = 2 {(x + 1)}^{2} - 5 (x + 1) + 8$ $(f @ g)(x) = f(g(x)) = 2(x+ 1)^2 - 5(x + 1) + 8$

Simplifying a little we get

$f (g (x)) = 2 (x^{2} + 2 x + 1) - 5 x - 5 + 8$ $f(g(x)) = 2(x^2 + 2x + 1) - 5x - 5 + 8$

$f (g (x)) = 2 x^{2} + 4 x + 2 - 5 x + 3$ $f(g(x)) = 2x^2 + 4x + 2 - 5x + 3$

$f (g (x)) = 2 x^{2} - x + 5$ $f(g(x)) = 2x^2 - x + 5$

Hopefully this helps!

Science

Math

Humanities

... and beyond

Can someone please help?

Find f ○ g if g(x) = x + 1 and f(x) = 2x2 - 5x + 8

1 Answer

Explanation:

Related questions

Impact of this question