Recall the inverse function theorem: if f(x) has an inverse, and if f(a) = b and a = f⁻¹(b), then
f⁻¹(f(x)) = x ⇒ (f⁻¹)'(f(x)) • f'(x) = 1 ⇒ (f⁻¹)'(f(x)) = 1/f'(x)
⇒ (f⁻¹)'(b) = 1/f'(a)
Let b = 10. Then pick the function f(x) such that f(a) = 10 and f'(a) = -8 for some number a.
Step-by-step explanation:
c=144°(vertically opposite angle)
b+c=180°(straight angle)
b+144=180
b=180-144
b=36°
Answer:
adding both equations
4x+9y=5
-4x+7y=11
+ + =+
________
0 +16y=16
y=1
putting the value of y in first eqn
4x+9×1=5
4x=5-9
4x=-4
x=-1
so the x is -1 and y is 1
That's how I would graph it...
Answer:
<h2>d = 23</h2>
Step-by-step explanation:
∠IHE and ∠GHF are vertical angles.
Vertical angles have the same measures (are congruent).
Therefore, if m∠IHE = d + 44 and m∠GHF = 4d - 25, then we have the equation:
d + 44 = 4d - 25 <em>subtract 44 from both sides</em>
d + 44 - 44 = 4d - 25 - 44
d = 4d - 69 <em>subtract 4d from both sides</em>
d - 4d = 4d - 4d - 69
-3d = -69 <em>divide both sides by (-3)</em>
-3d/(-3) = -69/(-3)
d = 23
