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How to Find the Inverse of a Function

2. Let f be d...

Question

2. Let f be defined by f(x)=x-4 and g be defined by g(x)={x-16/x+4 when x is not equal to -4 Or @ when x=-4 } Find @ such that f(x)=g(x) for all x.

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f (x) = (x - 3)

g (x) = \int_{k, w h e n x = - 3}^{\frac{x^{2} - 9}{x + 3}, w h e n x \neq - 3}

x \in R

Let f and g be real functions, defined by $f (x) = \sqrt{x + 2}$ and $g (x) = \sqrt{4 - x^{2}}$ . Find

(i) $(f + g) (x)$

(ii) $(f - g) (x)$

(iii) $(f g) (x)$

(iv) $(f f) (x)$

(v) $(g g) (x)$

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f : R \to R

f (x) = [x]

g (x) = \frac{3 - 2 x}{4}

f

g

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f (x)

[- 2, 2],

f (x) = {\begin{matrix} - 1, & - 2 \leq x \leq 0 x - 1, & 0 \leq x \leq 2 \end{matrix},

g (x) = f (| x |) + | f (x) |,

g (- 1)

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