English

If f(m) = m2 − 3m + 1, find f(− x) - Mathematics and Statistics

Advertisements
Advertisements

Question

If f(m) = m2 − 3m + 1, find f(− x)

Sum

Solution

f(– x) = (– x)2 – 3 (– x) + 1
= x2 + 3x + 1

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Functions - Exercise 2.1 [Page 31]

RELATED QUESTIONS

\[f\left( x \right) = \begin{cases}3x - 2, & x < 0; \\ 1, & x = 0; \\ 4x + 1, & x > 0 .\end{cases}\]

find: f(1), f(−1), f(0) and f(2).

 

 


Let f : R+ → R, where R+ is the set of all positive real numbers, such that f(x) = loge x. Determine

(b) {x : f(x) = −2}


Let f : R+ → R, where R+ is the set of all positive real numbers, such that f(x) = loge x. Determine

(c) whether f(xy) = f(x) : f(y) holds

 

Let f and g be two real functions defined by \[f\left( x \right) = \sqrt{x + 1}\] and \[g\left( x \right) = \sqrt{9 - x^2}\] . Then, describe function: 

(iii) f g


Let f(x) = x2 and g(x) = 2x+ 1 be two real functions. Find (g) (x), (f − g) (x), (fg) (x) and  \[\left( \frac{f}{g} \right) \left( x \right)\] .

 

If f(x) =  4x − x2x ∈ R, then write the value of f(a + 1) −f(a − 1).

 

The range of f(x) = cos [x], for π/2 < x < π/2 is


Check if the relation given by the equation represents y as function of x:

2y + 10 = 0


Express the area A of a square as a function of its side s


Express the area A of circle as a function of its diameter d


An open box is made from a square of cardboard of 30 cms side, by cutting squares of length x centimeters from each corner and folding the sides up. Express the volume of the box as a function of x. Also find its domain


Express the following logarithmic equation in exponential form

log2 64 = 6


Find the domain of f(x) = ln (x − 5)


Answer the following:

A function f is defined as : f(x) = 5 – x for 0 ≤ x ≤ 4. Find the value of x such that f(x) = 5


Find the domain of the following function.

f(x) = `sqrtlog(x^2 - 6x + 6)`


A graph representing the function f(x) is given in it is clear that f(9) = 2

Find the following values of the function 

(a) f(0)

(b) f(7)

(c) f(2)

(d) f(10)


The domain of the function f defined by f(x) = `1/sqrt(x - |x|)` is ______.


If f(x) = `(x - 1)/(x + 1)`, then show that `f(1/x)` = – f(x)


If f(x) = y = `(ax - b)/(cx - a)`, then prove that f(y) = x.


If f(x) = x3 – 1 and domain of f = {0, 1, 2, 3}, then domain of f–1 is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×