Question

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

Answer 1

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 2

is it
\[\log_{10} x \ or \ \log 10x \ \ ?\]

Answer 3

hint :
for an example
if u got
\[f(x) = \log 7x\]\[g(x) = 2x + 2\]
then
\[f(x) . g(x) = \log7x( 2x + 2)\]

so... for your problem
it's
\[f(x) = \log10x \]\[g(x) = 5x -2\]
then according to the above example
\[f(x) . g(x) = ?\]

Answer 4

then it would be f(x) * g(x) = log10x * 5x-2 ???

Answer 5

yep :)

Answer 6

alright so out of the choices i have then it would be B right?
because parenthesis means multiplication correct?

Answer 7

yeah !

Answer 8

thank you! can you help me with a few more?

Answer 9

If f(x) = log 2 (x + 4) what is f ^ -1 (3) ???

the negative one is an exponent to the F.

Answer 10

when you do function composition, you do
f( g(x) )
which means you replace any x's in f() with g(x)

if \( f(x)=\log_{10} x\) then
\( f(g(x))=\log_{10} g(x)\)
now replace g(x) with 5x − 2
\[ f(g(x))=\log_{10}(5x-2) \]
notice that this is not x(5x-2) inside the log function

Answer 11

unfortunately, I can not make sense of any of the answers.