Simplify (we cannot solve if there is no equals)
6s^3(5s^2)(3s^4)
multiply the coefficients, add the exponents since the bases are the same
(6*5*3) s^(3+2+4)
90 s^(9)
Answer:
<h3>
ln (e^2 + 1) - (e+ 1)</h3>
Step-by-step explanation:
Given f(x) = ln and g(x) = e^x + 1 to get f(g(2))-g(f(e)), we need to first find the composite function f(g(x)) and g(f(x)).
For f(g(x));
f(g(x)) = f(e^x + 1)
substitute x for e^x + 1 in f(x)
f(g(x)) = ln (e^x + 1)
f(g(2)) = ln (e^2 + 1)
For g(f(x));
g(f(x)) = g(ln x)
substitute x for ln x in g(x)
g(f(x)) = e^lnx + 1
g(f(x)) = x+1
g(f(e)) = e+1
f(g(2))-g(f(e)) = ln (e^2 + 1) - (e+ 1)
Answer:
x = 3, x = 4
Step-by-step explanation:
Given
= 14 - 2x ( multiply through by x , x ≠ 0 )
24 = 14x - 2x² ( subtract 14x - 2x² from both sides )
2x² - 14x + 24 = 0 ( divide through by 2 )
x² - 7x + 12 = 0 ← in standard form
(x - 3)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4
Answer:
10.667 yards
Step-by-step explanation:
Answer:
f⁻¹(x) = x+2 / 3
Step-by-step explanation:
Given function is:
f(x) = 3x-2
We have to find the inverse of the given function.
Put y = f(x) in given function, we have
y =3x-2
Adding 2 to both sides of the above equation we have
y+2 = 3x-2+2
y+2 = 3x
Dividing by 3 to both sides of the above equation, we have
y+2 / 3 = 3x / 3
y+2 / 3 = x
Put x = f⁻¹(y) in the above equation we have
y+2 / 3 = f⁻¹(y)
Swapping equation we have
f⁻¹(y) = y+2 / 3
Replace y with x we have
f⁻¹(x) = x+2 / 3 which is the answer.
