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

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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. (i) | 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.

Draw the graph of the following function:

f(x) = 16 – x²

Draw the graph of the following function:

f(x) = |x – 2|

Draw the graph of the following function:

f(x) = e^-2x

If f(x) = `{(x^2 - 4x if x >= 2),(x+2 if x < 2):}`, then f(5) is

The graph of the line y = 3 is

The graph of y = e^x intersect the y-axis at:

Which of the following function is neither even nor odd?