Function questions
503 published questions with worked solutions.
- Let f(x)= ax+b cx+d . Then f f(x)=x provided that
- Let f:[4, ) [4, ) be defined by f(x)=5^ x(x-4) . Then f^ -1 (x) is
- If f(x)= 1-x 1+x (x -1), then f^ -1 (x) equals
- If f(x) satisfies the relation 2f(x)+f(1-x)=x^2 for all real x, then f(x) is
- The graph of the function y=f(x) is symmetrical about the line x=2, then
- If the function f:[1, ) [1, ) is defined by f(x)=2^ x(x-1) , then f^ -1 (x) is
- The inverse of the function y= 10^x-10^ -x 10^x+10^ -x is
- If f:R R is defined by f(x)=|x|, then
- If f:R R is defined by f(x)= x and g:(1, ) R is defined by g(x)= x^2-1 , then g f(x) is
- The function f:C C defined by f(x)= ax+b cx+d for x C, where bd 0, reduces to a constant function if
- If f:R R is defined by f(x)=x^2-6x-14, then f^ -1 (2) equals
- Let f:(2,3) (0,1) be defined by f(x)=x-[x], then f^ -1 (x) equals
- If f:R R is defined by f(x)=x^3, then f^ -1 (8) is equal to
- If f(x)= x x-1 , x 1, then (f f f)(x) (19 times) is equal to
- The function f satisfies the functional equation 3f(x)+2f ( x+59 x-1 )=10x+30 for all real x 1. The value of f(7) is
- Let [x] denote the greatest integer x. If f(x)=[x] and g(x)=|x|, then the value of f (g ( 85 ) )-g (f (- 85 ) ) is
- Let f:R R:f(x)=x^2 and g:R R:g(x)=x+5, then g f is
- If f(x)= ^2x and the composite function g(f(x))=| x|, then the function g(x) is equal to
- Let the functions f,g,h be defined from R to R such that f(x)=x^2-1, g(x)= x^2+1 and h(x)= cases 0, & x<0 x, & x 0 cases , then h...
- If y=f(x)= x+2 x-1 , then
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