Evaluate a difference quotation 163 section 2 Y: 34, 68 f(x) = 8x + 4 (n circle

Question

Evaluate a difference quotation 163 section 2 Y: 34, 68 f(x) = 8x + 4 (n circle m)(x) Write an equation for the inverse function 163 section 4.1: 42 g(x) = 8 - x/3 Simplify each expression 163 section R3 middot 62a, 64, 66, 88 3^-2 + 3^-1 + 3^0 + 3^1 + 3^2 2110 in scientific notation Multiply and simplify, assume all variable expressions represents positive real numbers 163 section R4:80 (3 squareroot 11 - 7 squareroot 2) (2 squareroot 11 + 9 squareroot 2) Simplify the expression, Assume that variable expressions represents positive real numbers. 163 section R6: 70 7/squareroot 2 (8.1 times 10^6) (2 times 10^5) in scientific notation 163 section R3: 48 (3x^V_2/4^3/8)^4 (4^1/2/3x^4/3)^3

Explanation / Answer

1) f(x) = 8x +4

f(x +h) = 8(x +h) +4

f(x) = 8x

[ f(x+h) - f(x) ]/h

=[ 8(x +h) +4 - 8x -4 ]/h

= 8h/h

=8

2) ( 3sqrt11 - 7sqrt2)(2sqrt11 + 9sqrt2 )

= (6*11 + 27sqrt22 - 14*11 - 63*2)

= 1018 +27sqrt22

3) g(x) = (8 -x)/3

to find inverse : plug x = y and y = x

x = (8 -y)/3

3x = 8 -y

y = 8 - 3x

f^-1(x) = 8 -3x

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