Given the parent functions $$f(x)=3x+2$$ and $$g(x)=5^x-10$$ what is $$g(x)-f(x)$$

Question

campbell_st · Answer

so you will have 

$$g(x) -f(x) = 5^x - 10 - (3x + 2)$$

simplify and collect like terms

anonymous · Answer

Thank you so much. I kept coming up with "all real numbers" and that wasn't working for me...

shamil98 · Answer

25 - 10 - 3x - 2
basically.

anonymous · Answer

I got $$-3x+5^x-12$$ and that isn't one of my answer choices...

campbell_st · Answer

well i'd write it as 

$$g(x) - f(x) = 5^x - 3x - 12$$

campbell_st · Answer

but your answer is fine, you normally write with the highest power 1st.

anonymous · Answer

$$g(x)-f(x)=5^x-8-3x$$
$$g(x)-f(x)=5^x-12-3x$$
$$g(x)-f(x)=3x-8-5^x$$
$$g(x)-f(x)=3x+12-5^x$$

campbell_st · Answer

ok... so you are looking for 

5^x, -12 and -3x

so which option...?

anonymous · Answer

The first one right?

jdoe0001 · Answer

$\bf g(x) - f(x) = 5^x - 12- 3x \implies  g(x) - f(x) = 5^x - 3x - 12   $

jdoe0001 · Answer

the value and the signs are the same, the order doesn't quite matter, campbell_st just happen to have used the "standard form"

anonymous · Answer

So the second one?

jdoe0001 · Answer

yes

campbell_st · Answer

thats correct. the 2nd one

anonymous · Answer

Thank you. Could you help me with another one like this?

campbell_st · Answer

if you post it in the normal manner there are lots of people who can help.