If f(x) = ex and g(x) = loge x then find (3f) (1).

If f(x) = e^x and g(x) = log_ex then find (3f) (1).

One Line Answer

(3f)(1) = 3 f(1) = 3 e¹ = 3e

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Functions and Their Graphs

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Chapter 5: Differential Calculus - Exercise 5.1 [Page 105]

Chapter 5 Differential Calculus
Exercise 5.1 | Q 6. (iii) | Page 105

Determine whether the following function is odd or even?

f(x) = `log (x^2 + sqrt(x^2 + 1))`

Determine whether the following function is odd or even?

f(x) = x + x²

If f(x) = `((x + 1)/(x - 1))`, then prove that f(f(x)) = x.

If f(x) = e^x and g(x) = log_ex then find (fg)(1).

If f(x) = e^x and g(x) = log_ex then find (5g)(1).

Draw the graph of the following function:

f(x) = e^2x

Draw the graph of the following function:

f(x) = `|x|/x`

If f(x) = `1/(2x + 1)`, x > `-1/2`, then show that f(f(x)) = `(2x + 1)/(2x + 3)`

Draw the graph of y = 9 - x².

If f(x) = x² and g(x) = 2x + 1 then (fg)(0) is: