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

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

One Line Answer

(f+g)(1) = e¹ + log_e1 = e + 0 = e

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. (i) | Page 105

Determine whether the following function is odd or even?

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

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

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 (3f) (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

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

The graph of y = 2x² is passing through:

Which of the following function is neither even nor odd?

The range of f(x) = |x|, for all x ∈ R is: