Question

Given the parent functions f(x) = 5x − 1 and g(x) = 3x − 9, what is g(x) − f(x)?

Answer 1

given:
g(x) = 3x-9
f(x) = 5x-1

and we need to solve g(x) - f(x)

Answer 2

so we plug these functions into g(x)-f(x)

3x-9-(5x-1)
now distribute the negative on the right hand side of the equation

Answer 3

3x-9(-5x+1)?

Answer 4

ok... that's good
3x-9-5x+1

now we combine like terms.. we can also rearrange this equation to make it easier to solve

so instead of 3x-9-5x+1 we can rewrite it as
3x-5x-9+1

Answer 5

oh the equation is 3^x

Answer 6

im sorry

Answer 7

ahhhhhhhh!

ok no problem... just rewrite what f(x) and g(x) was supposed to be

Answer 8

ok was g(x) = 3^x-9 ?

Answer 9

f(x)=5x-1 g(x)=3^x-9

Answer 10

@jim_thompson5910

Answer 11

ok we do the same process again
g(x) -f(x)

3^x-9-(5x-1)

Answer 12

actually we have already done the distribution of the negative,
3^x-9-5x+1
now combine like terms for -9+1

Answer 13

-8

Answer 14

\[3^x-9+1-5x\]

Answer 15

yup \[3^x-8-5x\]

Answer 16

since we can't combine any more terms, that's the answer

Answer 17

Given the parent functions f(x) = log10 x and g(x) = 5x − 2, what is f(x) • g(x)?

f(x) • g(x) = log10 x5x − 2
f(x) • g(x) = log10 (5x − 2)x
f(x) • g(x) = 5x log10 x + 2 log10 x
f(x) • g(x) = 2 log10 x − 5x log10 x

Answer 18

let me type the equation correctly

Answer 19

\[f(x)=\log_{10} x \]
g(x)=5x-2

Answer 20

firt answer is log10 x^5-2
second is log10(5x-2)^x

Answer 21

@jim_thompson5910

Answer 22

we are using multiplication
\[f(x) \cdot g(x) \] once again we place our f(x) function and g(x) into the formula

Answer 23

\[\log10_x[5x-2]\] use distribution

Answer 24

what do you distribute

Answer 25

distribute the log

Answer 26

\[\log_{10}x[5x-2]\]

Answer 27

i dont have a graphing or scientific calc to solve

Answer 28

we can just distribute the log