/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 62 If f(x)=3x2-7聽and g(x)=2x+a, fi... [FREE SOLUTION] | 91影视

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Chapter 5: Q. 62 (page 257)

If f(x)=3x2-7and g(x)=2x+a, find aso that the graph off鈭�g crosses the y-axis at 68.

Short Answer

Expert verified

The value of ais卤5.

Step by step solution

01

Step 1. Given Information

Given that f(x)=3x2-7and g(x)=2x+a,value off鈭�g(x)atx=0is 68.

02

Step 2. Solution

We know that f鈭�g(x)=f(g(x)).

Here, f(x)=3x2-7,g(x)=2x+a

f鈭�g(x)=f(g(x))f鈭�g(x)=3(g(x))2-7 f鈭�g(x)=3{2x+a}2-7 f鈭�g(x)=3{4x2+4xa+a2}-7f鈭�g(x)=12x2+12xa+3a2-7

So, at x=0, f鈭�g(0)=68.

Now,

f鈭�g(x)=12x2+12xa+3a2-7,atx=0f鈭�g(0)=12(0)2+12(0)(a)+3a2-768=0+0+3a2-73a2=68+73a2=75a2=25a=卤5.

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