`2^x=240 ,t h e n f i n d2^(x-4)`

If f: R->R be defined by f(x): x^2+1,\ t h e n\ fi n d\ f^(-1)(17)a n d\ f^(-1)(-3)dot

If f: R^+ to R , f(x) + 3x f(1/x)= 2(x+1),t h e n find f(x)

If f: R^+ to R , f(x) + 3x f(1/x)= 2(x+1),t h e n find f(x)

let f(x)=e^x ,g(x)=sin^(- 1) x and h(x)=f(g(x)) t h e n f i n d (h^(prime)(x))/(h(x))

Let f((x+y)/2)=(f(x)+f(y))/2fora l lr e a lxa n dy If f^(prime)(0) exists and equals -1a n df(0)=1,t h e n f i n d f(2)dot

if f(x)={x^3+x^2 , for 0<=x<=2 x + 2,for2

if f(x)={x^3+x^2,for0lt=xlt=2x+2,for2

if f(x)= {x^3+x^2,for 0lt=xlt=2x+2 ,for2

If intsin^(-1)xcos^(-1)xdx=f^(-1)(x) [π/2x-xf^(-1)(x)-2sqrt(1-x^2)]+2x+C ,t h e n f(x)=sinx (b) f(x)=cosx A=pi/4 (d) A=pi/2

If f(x)={x^2, for xgeq1x ,for x<0 ,t h e n fof(x) is given by