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

Determine whether the following function is odd or even?

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

Draw the graph of the following function:

f(x) = 16 – x²

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)`

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

Which one of the following functions has the property f(x) = `"f"(1/x)`?

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?

f(x) = -5, for all x ∈ R is a: