If the function f()=3ax+b if x is greater than 1. F(x)=11 if x=1. F()=5ax-2b if x is less than 1 continuous at x=1 find the value of a and b

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f (x)

f (x) = ⎧ ⎨ ⎩ \begin{matrix} 3 a x + b & i f x > 1 11 & i f x = 1 5 a x - 2 b & i f x < 1 \end{matrix}

a

b

f (x) =

⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} 3 a x + b, i f x \geq 1 11, i f x = 1 5 a x - 2 b, i f x < 1 \end{matrix} ⎫ ⎪ ⎬ ⎪ ⎭

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f (x) = ⎛ ⎜ ⎝ \begin{matrix} 4 ax + b, if x > 1 11, if x = 1 3 ax - 2 b, if x < 1 \end{matrix}

f (x) = \{\begin{matrix} 1, & i f x \leq 3 \\ a x + b, & i f 3 < x < 5 \\ 7, & i f x \geq 5 \end{matrix}

f (x)

f (x) = ⎧ ⎨ ⎩ \begin{matrix} 3 a x + b & x < 1 11 & x = 1 5 a x - 2 b & x > 1 \end{matrix}

x = 1

a

b

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