פונקציה הפוכה
Author: המרכז הארצי למורים למתמטיקה בחינוך העל יסודי

לפניכם

א
ב

f(x)

f^{-1}(x)

show f

show f inverse

f(x)=

הכנס פונקציה כלשהי

היפוך הפונקציה סביב הישר y=x

קבע את התחום של הפונקציה

אתחול

ניקוי המסך

משיקים

f(x) = x^(3) + 2
a = 1 (slider from 0 to 1, step 0.05)
ymin = -50 (slider from -50 to 0, step 0.1)
ymax = 50 (slider from 0 to 50, step 0.1)
b = CurveCartesian((1 - a) * t + a * f(t), (1 - a) * f(t) + a * t, t, ymin, ymax)
c = true
d = false
inputBox1 = Textfield(f)
A = Point(f)
B: b(x(A))
h = If(a < 1, true)
i = If(a < 1, 1)
j = If(a < 1, 1)
k = If(a < 1, 1)
l = If(a < 1, 1)
e = Tangent(A, f)
m_3 = Tangent(B, b)
m_1 = Slope(e)
m_2 = Slope(m_3)
n = If(a < 1, 1)
o = If(a < 1, 1)
p = If(a < 1, 1)
q = If(a < 1, 1)
r = If(a < 1, 1)
s = If(a < 1, 1)
t = If(a < 1, 1)
u = If(a < 1, 1)
v = If(a < 1, 1)
w = If(a < 1, 1)
z = If(a < 1, 1)
a_1 = If(a < 1, 1)
b_1 = If(a < 1, 1)
c_1 = If(a < 1, 1)
d_1 = If(a < 1, 1)
e_1 = If(a < 1, 1)
f_1 = If(a < 1, 1)
g_1 = If(a < 1, 1)
h_1 = If(a < 1, 1)
i_1 = If(a < 1, 1)
j_1 = If(a < 1, 1)
k_1 = If(a < 1, 1)
l_1 = If(a < 1, 1)
n_1 = If(a < 1, 1)
o_1 = If(a < 1, 1)
p_1 = If(a < 1, 1)
q_1 = If(a < 1, 1)
r_1 = If(a < 1, 1)
s_1 = If(a < 1, 1)
t_1 = If(a < 1, 1)
u_1 = If(a < 1, 1)
v_1 = If(a < 1, 1)
w_1 = If(a < 1, 1)
z_1 = If(a < 1, 1)
a_2 = If(a < 1, 1)
b_2 = If(a < 1, 1)
c_2 = If(a < 1, 1)
d_2 = If(a < 1, 1)
e_2 = If(a < 1, 1)
f_2 = If(a < 1, 1)
g_2 = If(a < 1, 1)
h_2 = If(a < 1, 1)
i_2 = If(a < 1, 1)
j_2 = If(a < 1, 1)
k_2 = If(a < 1, 1)
l_2 = If(a < 1, 1)
n_2 = If(a < 1, 1)
o_2 = If(a < 1, 1)
p_2 = If(a < 1, 1)
q_2 = If(a < 1, 1)
r_2 = If(a < 1, 1)
s_2 = If(a < 1, 1)
t_2 = If(a < 1, 1)
u_2 = If(a < 1, 1)
v_2 = If(a < 1, 1)
w_2 = If(a < 1, 1)
z_2 = If(a < 1, 1)
a_3 = If(a < 1, 1)
b_3 = If(a < 1, 1)
m = false
c_3 = If(a < 1, 1)