Excluded Values for Rational Expressions
When dealing with rational expressions, understanding excluded values is crucial. These values are the ones that would make the denominator zero, rendering the expression undefined. Identifying excluded values helps prevent mathematical errors and ensures the validity of solutions. Whether simplifying expressions or solving equations, recognizing and handling excluded values accurately is fundamental for mastering rational expressions.
Questions
- What is the excluded value for #y=(x+2)/(x-1)#?
- How do you simplify #(x+6)/(x^2-4)#?
- What are the asymptote(s) and hole(s), if any, of # f(x) =(x^2-1)/(x^4-1) #?
- How do you simplify and find the excluded values of #8/(x+2)#?
- What are the asymptote(s) and hole(s), if any, of # f(x) =e^x/(x(x-e)(x-1)#?
- How do you simplify # (y^2 -2y -15)/ (2y^2 -50)#?
- How do you simplify #(8-x)/(x^2-7x-8)#?
- How do you simplify #(b^2+2b-24)/(2b^2-72)# and find any non permissible values?
- How do you simplify #(45a^5b(8-a))/(20a^2b^3(a-8))# and what are the restrictions?
- How do you simplify and list the restrictions for #h (x)= (7 - x) /( 3x - 21)#?
- How do you simplify #(ax - ay - 2by + 2bx)/(ax - 2bx + 2by + ay)#?
- How do you simplify # [ (a^2 - b^2)^3 + (b^2 - c^2)^3 + (c^2 - a^2)^3 ] / [ (a^4 - b^4)^3 + (b^4 - c^4)^3 + (c^4 - a^4)^3]#?
- How do you simplify #(2x-10)/(3x - 21)# and what are the restrictions?
- How do you find all the values that make the expression undefined: #(9y + 8)/y#?
- How do you simplify #(2x-5x+3)/(2x-4x+2)#?
- What are the asymptote(s) and hole(s), if any, of # f(x) =(sin((pix)/2))/(x^3-2x^2+x) #?
- How do you simplify and find the restrictions for #(3b)/(b(b + 9))#?
- How do you simplify #(2x^2+11x+5)/(3x^2+17x+10)#?
- How do you simplify #(4c^2+12c+9)/(2c^2-11c-21)#?
- What are the excluded values for #y=(2x+5)/(x+5)#?