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Class 12 · Mathematics

If (f:R\to R), (f(x)=7x+2), which statement is correct about (f)?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f(x)=3x-2) and (g(x)=x+5), what is ((f\circ g)(x))?

Class 12 · Mathematics

If \(f(x)=x-2\) and \(g(x)=x^2+1\), find the value of \((g\circ f)(4)\).

Class 12 · Mathematics

If (f:R\to R), (f(x)=x^2+4x+7), what is the range of (f)?

Class 12 · Mathematics

If (f(x)=\frac{x+4}{x-3}), what is the real domain?

Class 12 · Mathematics

If (f(x)=x^2-3x), what is (f(x+2)-f(x))?

Class 12 · Mathematics

If (f:R\to R), (f(x)=2x+5), what is the value of (f^{-1}(13))?

Class 12 · Mathematics

If (f:A\to B) and (g:B\to A) satisfy (g\circ f=I_A) and (f\circ g=I_B), what is (g)?

Class 12 · Mathematics

If (f:A\to B) is bijective and (A) has (5) elements, how many elements will (B) have?

Class 12 · Mathematics

If (f:R\to R), (f(x)=|x|+2), why is it not onto?

Class 12 · Mathematics

If (f:R\to R), (f(x)=|x|+2), what is the range?

Class 12 · Mathematics

If (f(x)=x^2-3x+2), which of (f(0), f(1), f(2)) are zero?

Class 12 · Mathematics

If (f:R\to R), (f(x)=x^2), what is (f^{-1}({4}))?

Class 12 · Mathematics

If (f:[0,\infty)\to[0,\infty)), (f(x)=x^2), what is (f^{-1}(9))?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f(x)=x^2+1) and (g(x)=\sqrt{x-1}), what is ((g\circ f)(x))?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f:A\to B), (A={1,2,3,4}), (B={a,b}), and (f={(1,a),(2,a),(3,b),(4,b)}), what type of function is (f)?

Class 12 · Mathematics

If (f(x)=x^2) and the domain is ({-3,-2,-1,0,1,2,3}), how many elements are in the range?