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

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

One Line Answer

(fg)(1) = f(1) g(1) = e¹ \[\log^{1}_{e}\] = e × 0 = 0

shaalaa.com

Functions and Their Graphs

Is there an error in this question or solution?

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

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

Determine whether the following function is odd or even?

f(x) = sin x + cos x

Determine whether the following function is odd or even?

f(x) = x + x²

Let f be defined by f(x) = x³ – kx² + 2x, x ∈ R. Find k, if ‘f’ is an odd function.

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

Draw the graph of the following function:

f(x) = x |x|

Draw the graph of the following function:

f(x) = e^2x

Draw the graph of y = 9 - x².

If f(x) = `(1 - x)/(1 + x)` then f(-x) is equal to:

The minimum value of the function f(x) = |x| is:

f(x) = -5, for all x ∈ R is a: