Answer:
The functions given are:
f(x) = x²
g(x) = f(-4x-3) + 1
First, find f(-4x-3):
f(x) = x²
f(-4x-3) = (-4x-3)²
Find g(x):
g(x) = f(-4x-3) + 1
g(x) = (-4x-3)² + 1
g(x) = (-1)² (4x+3)² + 1
g(x) = (4x+3)² + 1
First take
y = (x)²
Compress the graph along x axis by multiplying x with 4
y = (4x)²
Shift the graph left by 0.75 units, by adding 3 to x term.
y = (4x+3)²
Shift the graph up by 1 unit by adding 1 to the total terms.
y = (4x+3)² +1
True: The trigonometric ratios sine and secant are reciprocals of each other
Using BEDMAS
a) 6+4(2+3)^2
6+4(5)^2 - Eliminate addition in bracket
6+4(25) - Execute the exponent
6+100 - Mulitplying
106 - Addition
b)(6+4)(2+3)
(10)(5) -Addition in BRACKETS done
50 - Mulipication
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4(2x+1) = 3(x+8)
8x + 4 = 3x + 24
5x = 20
∴x = 4