For the following functions, f and g, determine
(a) f(g(x)) (b) g(f(x))

If f(x)= 7x+4 and g(x)-10x+6 , then

(a) f(g(x))

(b) g(f(x))

Question

For the following functions, f and g, determine 
(a) f(g(x))   (b) g(f(x))

If f(x)= 7x+4 and g(x)-10x+6 , then

(a)  f(g(x)) 

(b)  g(f(x))

anonymous · Answer

help :(

anonymous · Answer

it is $g(x)=10x+6$ ?

anonymous · Answer

-10x + 6

anonymous · Answer

ok

anonymous · Answer

would you be able to help me with this problem?

anonymous · Answer

$$f(g(x))=f(-10x+6)=7(-10x+6)+4$$ then some algebra to clean up the answer

anonymous · Answer

you got this?

anonymous · Answer

oh so basically we plug them in together equaling to each other?

anonymous · Answer

oh no not equal to each other

anonymous · Answer

okay from the basic algebra how do we find f(g(x))?

anonymous · Answer

look at the steps i wrote
first i wrote $f(g(x))$ then i replaced $g(x)$ by your $g(x)$ namely $-10x+7$

anonymous · Answer

so I got this: -70X + 46 = -70X-40

anonymous · Answer

then evaluate the function $f$ replacing $x$ by $-10x+7$

anonymous · Answer

there is no equation to solve here

anonymous · Answer

-10x+6

anonymous · Answer

the solution is 
$$f(g(x))=f(-10x+6)=7(-10x+6)+4=-70x+42+4=-70x+46$$

anonymous · Answer

right... -70x + ......

anonymous · Answer

I did the exact same thing. Am i missing something here?

anonymous · Answer

-70x +46 ....right