Question

Help?

Let f(x) = -4x + 7 and g(x) = 2x - 6. Find \((g ° f)(1)\).

Answer 1

@hartnn

Answer 2

I don't know what the degree sign is supposed to mean..

Answer 3

\((g ~o~f )(x)\)
is read as

"g of f of x"

it is a composition of functions g and f

Answer 4

Oh, so I'm supposed to multiply the functions?

Answer 5

to find \(g(f(1))\)
you can also start this by directly finding f(1)

Answer 6

f(1) is the value of f(x) when x =1

Answer 7

Isn't f(1) the same?

Answer 8

f(x) = -4x + 7
plug in x =1 here
you will get f(1)

Answer 9

f(x) = -4x + 7
f(x) = -4(1) + 7
f(x) = -4 + 7
f(x) = 3

Answer 10

Oh, now what do I do?

Answer 11

f(x) = -4x + 7
f(1) = -4(1) + 7
f(1) = -4 + 7
f(1) = 3

Answer 12

ok, now we have f(1) =3
\(\Large g(f(1))= g(3)\)

Answer 13

so you just need g(3)

to find g(3), plug in x = 3 in g(x)

Answer 14

Oh.

\(g(x) = 2x - 6\)
\(g(3) = 2(3) - 6\)
\(g(3) = 6 - 6\)
\(g(3) = 0\)

Is that correct?

Answer 15

\(\huge \checkmark\)

Answer 16

Awesome, didn't know it was that easy.

Answer 17

:)

Answer 18

How do you make that check? @hartnn

Answer 19

type this

`\(\huge \checkmark\)`


that \checkmark is for the check

\huge is to make the font very big

Answer 20

\(\huge \checkmark)

Answer 21

Oops, forgot the last slash

Answer 22

\(\huge \checkmark\)

Answer 23

Got it, thanks

Answer 24

\(\Large Good ~ work ~ \ddot \smile \)