Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
Solve for x
Solve for f
−1<f<1,x=0f>1,x=0f<−1,x=0
Evaluate
∣fx∣=x
Rewrite the expression
f∣x∣=x
Transform the expression
fx=x,x≥0f(−x)=x,x<0
Calculate
More Steps
Calculate
fx=x
Add or subtract both sides
fx−x=0
Collect like terms by calculating the sum or difference of their coefficients
(f−1)x=0
Rewrite the expression
x=0
x=0,x≥0f(−x)=x,x<0
Calculate
More Steps
Calculate
f(−x)=x
Calculate
−fx=x
Add or subtract both sides
−fx−x=0
Collect like terms by calculating the sum or difference of their coefficients
(−f−1)x=0
Rewrite the expression
x=0
x=0,x≥0x=0,x<0
Calculate
More Steps
Evaluate the logic
{x=0x≥0
Find the intersection
x=0
Check if the solution is in the defined range
x=0,f∈(−∞,−1)∪(−1,1)∪(1,+∞)
Find the intersection of the solution and the defined range
{−1<f<1x=0{f>1x=0{f<−1x=0
{−1<f<1x=0{f>1x=0{f<−1x=0x=0,x<0
Calculate
{−1<f<1x=0{f>1x=0{f<−1x=0
Solution
−1<f<1,x=0f>1,x=0f<−1,x=0
Show Solution
