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) = `((a^x - 1)/(a^x + 1))`

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 (5g)(1).

Draw the graph of the following function:

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

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

If f(x) = 2^x and g(x) = `1/2^x` then (fg)(x) is:

Which of the following function is neither even nor odd?

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

The graph of f(x) = e^x is identical to that of:

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