MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Derivative of One Function w.r.t Another

Let f x =[ x ...

Question

Let f(x)= [x] and g(x)=|x| then find (gof) (-1/3) - (fog) (1/3) .

Open in App

Solution

f(-1/3) = [-1/3] =-1

gof(-1/3) = g(f(-1/3)=g(-1) = l -1 l = 1

g(-1/3) = l -1/3 l = 1/3

fog)(-1/3) = f(g(-1/3) = f(1/3) = [1/3] = 0

gof(-1/3)- fog(1/3) = 1-0 = 1

Suggest Corrections

thumbs-up

14

Similar questions

f : [0, 1] \to [0, 1]

f (x) = \frac{1 - x}{1 + x}, 0 \leq x \leq 1

g : [0, 1] \to [0, 1]

g (x) = 4 x (1 - x), 0 \leq x \leq 1

. Determine the composition functions fog(1)

f (x) = x + 1

g (x) = x^{2}

F o g (1)

G o f (- 1)

F o g (2)

G o f (3)

g (x) = \frac{1}{2} [f (x) - f (- x)]

- 3 \leq x \leq 3

f (x) = 2 x^{2} - 2 x + 1

\int_{- 3}^{3} g (x) d x

f (x) = \frac{3}{x - 2} - \frac{1}{x + 3}

g (x) = \frac{x^{2} - 4 x + 19}{x^{2} + x - 6}

f (x) = g (x)

x =

f (x) = [x]

g (x) = | x |

(g o f) (- \frac{5}{3}) - (f o g) (- \frac{5}{3})

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Differentiating One Function wrt Other

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Derivative of One Function w.r.t Another

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon