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Class 12 · Mathematics

If (f:R\to R), (f(x)=x^3-4), what is (f^{-1}(4))?

Class 12 · Mathematics

If (A={1,2}) and (B={a,b,c,d}), can onto functions from (A) to (B) exist?

Class 12 · Mathematics

If (A) has (3) elements and (B) has (6) elements, how many one-one functions are there from (A) to (B)?

Class 12 · Mathematics

If (A={1,2,3,4,5}) and (B={a,b}), how many onto functions are there from (A) to (B)?

Class 12 · Mathematics

If (f:A\to B), (A={1,2,3}), (B={u,v,w,z}), and (f={(1,u),(2,v),(3,w)}), what type of function is (f)?

Class 12 · Mathematics

If (f(x)=|x-5|), what is the set (f^{-1}({3}))?

Class 12 · Mathematics

If (f(x)=\frac{x+2}{x^2-4}), what is the real domain?

Class 12 · Mathematics

If (f(x)=\frac{1}{\sqrt{5-x}}), what is the real domain?

Class 12 · Mathematics

If (f(x)=\sqrt{3x-12}), what is the real domain?

Class 12 · Mathematics

If (f:R\to[2,\infty)), (f(x)=x^2+2), which statement is correct about (f)?

Class 12 · Mathematics

If (f:[-1,\infty)\to[0,\infty)), (f(x)=x+1), what type of function is (f)?

Class 12 · Mathematics

Which statement is correct about (f:R\to R), (f(x)=x^2+2x+2)?

Class 12 · Mathematics

If (f:R\to R), (f(x)=9x-4), which statement is correct about (f)?

Class 12 · Mathematics

If (f(x)=x^2-1) and (g(x)=x+2), which statement about ((f\circ g)(x)) and ((g\circ f)(x)) is correct?

Class 12 · Mathematics

If (f(x)=5x+1) and (g(x)=x-4), what is ((f\circ g)(x))?

Class 12 · Mathematics

If (f(x)=2x+1) and (g(x)=x^2+3), what is the value of ((g\circ f)(1))?

Class 12 · Mathematics

If (f:R\to R), (f(x)=x^2-6x+11), what is the range of (f)?

Class 12 · Mathematics

If (f(x)=\frac{x-5}{x+4}), what is the real domain?

Class 12 · Mathematics

If (f(x)=x^2-4x), what is (f(x+1)-f(x))?

Class 12 · Mathematics

If (f:R\to R), (f(x)=4x+7), what is the value of (f^{-1}(23))?