Advertisements
Advertisements
प्रश्न
Let f(x) = 2x + 5. If x ≠ 0 then find `(f(x + 2) -"f"(2))/x`
उत्तर
f(x) = 2x + 5
f(x + 2) = 2(x + 2) + 5
= 2x + 4 + 5
= 2x + 9
f(2) = (2) + 5
= 4 + 5
= 9
`(f(x + 2) -"f"(2))/x = (2x + 9 - 9)/x`
= `(2x)/x`
= 2
`(f(x + 2) -"f"(2))/x = 2`
APPEARS IN
संबंधित प्रश्न
The domain of the function \[f\left( x \right) = \sqrt{5 \left| x \right| - x^2 - 6}\] is
If f(x) = 3x + a and f(1) = 7 find a and f(4).
Express the following exponential equation in logarithmic form
e–x = 6
Select the correct answer from given alternatives.
If log10(log10(log10x)) = 0 then x =
Answer the following:
Find whether the following function is one-one
f : R − {3} → R defined by f(x) = `(5x + 7)/(x - 3)` for x ∈ R − {3}
Answer the following:
Show that, `log ("a"^2/"bc") + log ("b"^2/"ca") + log ("c"^2/"ab")` = 0
Answer the following:
Solve : `sqrt(log_2 x^4) + 4log_4 sqrt(2/x)` = 2
A function f is defined by f(x) = 3 – 2x. Find x such that f(x2) = (f(x))2
The data in the adjacent table depicts the length of a person's forehand and their corresponding height. Based on this data, a student finds a relationship between the height (y) and the forehand length (x) as y = ax + b, where a, b are constant.
Length ‘x’ of forehand (in cm) |
Height 'y' (in inches) |
35 | 56 |
45 | 65 |
50 | 69.5 |
55 | 74 |
Find the height of a person whose forehand length is 40 cm
If f(x) = `(x - 1)/(x + 1), x ≠ - 1` Show that f(f(x)) = `- 1/x`, Provided x ≠ 0