Question

Given the parent functions f(x) = log10 x and g(x) = 3x − 1, what is f(x) • g(x)?

Answer 1

Please someone help!!

Answer 2

log(3,(5x - 5)) - log(3,(x - 1)) = log(3,(5x - 5)/(x - 1)) =
log(3,5*(x - 1)/(x - 1)) = log(3,5) = ln(5)/ln(3) or about
1.464973520

Given the function f(x) = 0.3(4)x, what is the value of f−1(6)?
not sure what f-1(6) means? do you mean inverse
as f(x) = 0.3*4 *x = 1.2x
y = 1.2x changes to x = 1.2y which means x/1.2
y = x/1.2 as 6/1.2 become 5.


Given the parent functions f(x) = 5x − 1 and g(x) = 3x − 9, what is g(x) − f(x)?
(3x - 9) - (5x - 1) = 3x - 9 - 5x + 1 = -2x - 8 = -2(x + 4)

Given the parent functions f(x) = log10 x and g(x) = 5x − 2, what is f(x) • g(x)?
log(10,x) * (5x - 2) as not much you can do excpet maybe
log(10,x^(5x - 2))

If f(x) = log2 (x + 4), what is f−1(3)?
what is f-1(3)? as I am implying you mean inverse
f(x) = log(2,(x + 4)) now inverse is
x = log(2,(y + 4))
solve for y
x = ln(y + 4) / ln(2)
x * ln(2) = ln(y + 4)
e^(x * ln(2)) = e^ln(y + 4)
e^(ln(2^x)) = e^ln(y + 4)
2^x = y + 4
y = (2^x) - (4)
y = (2^3) - (4)
y = 8 - 4
y = 4 got it from yahoo answers

Answer 3

f(x) • g(x) = log10 (3x - 1)x
f(x) • g(x) = log10 x3x - 1
f(x) • g(x) = 3x log10 x + log10 x
f(x) • g(x) = log10 x - 3x log10 x
are the possible answers